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Finding the Fourth Proportional to 74,382.83, 102,646.47 and 42,549.68

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Solution

The fourth proportional to 74,382.83, 102,646.47 and 42,549.68 is: 58,717.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,382.83 : 102,646.47 = 42,549.68 : x
  2. Step 2: Convert to fraction form
    74,382.83/102,646.47 = 42,549.68/x
  3. Step 3: Cross multiply
    74,382.83x = 102,646.47 × 42,549.68
  4. Step 4: Simplify right side
    74,382.83x = 4,367,574,220.10
  5. Step 5: Solve for x
    x = 4,367,574,220.10/74,382.83
  6. Step 6: Final answer
    x = 58,717.50

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