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Finding the Fourth Proportional to 83,653.62, 115,442.19 and 45,930.30

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Solution

The fourth proportional to 83,653.62, 115,442.19 and 45,930.30 is: 63,383.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,653.62 : 115,442.19 = 45,930.30 : x
  2. Step 2: Convert to fraction form
    83,653.62/115,442.19 = 45,930.30/x
  3. Step 3: Cross multiply
    83,653.62x = 115,442.19 × 45,930.30
  4. Step 4: Simplify right side
    83,653.62x = 5,302,294,419.36
  5. Step 5: Solve for x
    x = 5,302,294,419.36/83,653.62
  6. Step 6: Final answer
    x = 63,383.92

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.