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Finding the Fourth Proportional to 74,138.72, 102,318.75 and 42,312.38

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Solution

The fourth proportional to 74,138.72, 102,318.75 and 42,312.38 is: 58,395.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,138.72 : 102,318.75 = 42,312.38 : x
  2. Step 2: Convert to fraction form
    74,138.72/102,318.75 = 42,312.38/x
  3. Step 3: Cross multiply
    74,138.72x = 102,318.75 × 42,312.38
  4. Step 4: Simplify right side
    74,138.72x = 4,329,349,806.84
  5. Step 5: Solve for x
    x = 4,329,349,806.84/74,138.72
  6. Step 6: Final answer
    x = 58,395.26

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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.