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Finding the Fourth Proportional to 74,259.39, 102,441.74 and 42,419.91

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Solution

The fourth proportional to 74,259.39, 102,441.74 and 42,419.91 is: 58,518.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,259.39 : 102,441.74 = 42,419.91 : x
  2. Step 2: Convert to fraction form
    74,259.39/102,441.74 = 42,419.91/x
  3. Step 3: Cross multiply
    74,259.39x = 102,441.74 × 42,419.91
  4. Step 4: Simplify right side
    74,259.39x = 4,345,569,178.94
  5. Step 5: Solve for x
    x = 4,345,569,178.94/74,259.39
  6. Step 6: Final answer
    x = 58,518.78

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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.