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Finding the Fourth Proportional to 83,287.36, 114,933.60 and 47,488.90

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Solution

The fourth proportional to 83,287.36, 114,933.60 and 47,488.90 is: 65,533.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,287.36 : 114,933.60 = 47,488.90 : x
  2. Step 2: Convert to fraction form
    83,287.36/114,933.60 = 47,488.90/x
  3. Step 3: Cross multiply
    83,287.36x = 114,933.60 × 47,488.90
  4. Step 4: Simplify right side
    83,287.36x = 5,458,070,237.04
  5. Step 5: Solve for x
    x = 5,458,070,237.04/83,287.36
  6. Step 6: Final answer
    x = 65,533.00

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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.