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Finding the Fourth Proportional to 74,134.49, 102,312.92 and 42,308.17

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Solution

The fourth proportional to 74,134.49, 102,312.92 and 42,308.17 is: 58,389.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,134.49 : 102,312.92 = 42,308.17 : x
  2. Step 2: Convert to fraction form
    74,134.49/102,312.92 = 42,308.17/x
  3. Step 3: Cross multiply
    74,134.49x = 102,312.92 × 42,308.17
  4. Step 4: Simplify right side
    74,134.49x = 4,328,671,945.23
  5. Step 5: Solve for x
    x = 4,328,671,945.23/74,134.49
  6. Step 6: Final answer
    x = 58,389.45

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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.