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Finding the Fourth Proportional to 57,716.40, 86,501.70 and 42,115.80

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Solution

The fourth proportional to 57,716.40, 86,501.70 and 42,115.80 is: 63,120.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,716.40 : 86,501.70 = 42,115.80 : x
  2. Step 2: Convert to fraction form
    57,716.40/86,501.70 = 42,115.80/x
  3. Step 3: Cross multiply
    57,716.40x = 86,501.70 × 42,115.80
  4. Step 4: Simplify right side
    57,716.40x = 3,643,088,296.86
  5. Step 5: Solve for x
    x = 3,643,088,296.86/57,716.40
  6. Step 6: Final answer
    x = 63,120.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.