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Finding the Fourth Proportional to 74,073.84, 102,224.34 and 40,539.84

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Solution

The fourth proportional to 74,073.84, 102,224.34 and 40,539.84 is: 55,946.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,073.84 : 102,224.34 = 40,539.84 : x
  2. Step 2: Convert to fraction form
    74,073.84/102,224.34 = 40,539.84/x
  3. Step 3: Cross multiply
    74,073.84x = 102,224.34 × 40,539.84
  4. Step 4: Simplify right side
    74,073.84x = 4,144,158,387.71
  5. Step 5: Solve for x
    x = 4,144,158,387.71/74,073.84
  6. Step 6: Final answer
    x = 55,946.32

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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.