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Finding the Fourth Proportional to 74,138.78, 102,318.84 and 42,312.47

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Solution

The fourth proportional to 74,138.78, 102,318.84 and 42,312.47 is: 58,395.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,138.78 : 102,318.84 = 42,312.47 : x
  2. Step 2: Convert to fraction form
    74,138.78/102,318.84 = 42,312.47/x
  3. Step 3: Cross multiply
    74,138.78x = 102,318.84 × 42,312.47
  4. Step 4: Simplify right side
    74,138.78x = 4,329,362,847.93
  5. Step 5: Solve for x
    x = 4,329,362,847.93/74,138.78
  6. Step 6: Final answer
    x = 58,395.39

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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.