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Finding the Fourth Proportional to 74,354.66, 102,602.65 and 42,522.87

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Solution

The fourth proportional to 74,354.66, 102,602.65 and 42,522.87 is: 58,677.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,354.66 : 102,602.65 = 42,522.87 : x
  2. Step 2: Convert to fraction form
    74,354.66/102,602.65 = 42,522.87/x
  3. Step 3: Cross multiply
    74,354.66x = 102,602.65 × 42,522.87
  4. Step 4: Simplify right side
    74,354.66x = 4,362,959,505.79
  5. Step 5: Solve for x
    x = 4,362,959,505.79/74,354.66
  6. Step 6: Final answer
    x = 58,677.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.