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Finding the Fourth Proportional to 83,007, 114,549.66 and 45,281.40

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Solution

The fourth proportional to 83,007, 114,549.66 and 45,281.40 is: 62,488.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,007 : 114,549.66 = 45,281.40 : x
  2. Step 2: Convert to fraction form
    83,007/114,549.66 = 45,281.40/x
  3. Step 3: Cross multiply
    83,007x = 114,549.66 × 45,281.40
  4. Step 4: Simplify right side
    83,007x = 5,186,968,974.32
  5. Step 5: Solve for x
    x = 5,186,968,974.32/83,007
  6. Step 6: Final answer
    x = 62,488.33

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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.