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Finding the Fourth Proportional to 74,172.64, 102,352.32 and 42,340.96

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Solution

The fourth proportional to 74,172.64, 102,352.32 and 42,340.96 is: 58,427.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,172.64 : 102,352.32 = 42,340.96 : x
  2. Step 2: Convert to fraction form
    74,172.64/102,352.32 = 42,340.96/x
  3. Step 3: Cross multiply
    74,172.64x = 102,352.32 × 42,340.96
  4. Step 4: Simplify right side
    74,172.64x = 4,333,695,487.03
  5. Step 5: Solve for x
    x = 4,333,695,487.03/74,172.64
  6. Step 6: Final answer
    x = 58,427.14

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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.