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Finding the Fourth Proportional to 74,291.96, 102,497.96 and 42,438.30

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Solution

The fourth proportional to 74,291.96, 102,497.96 and 42,438.30 is: 58,550.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,291.96 : 102,497.96 = 42,438.30 : x
  2. Step 2: Convert to fraction form
    74,291.96/102,497.96 = 42,438.30/x
  3. Step 3: Cross multiply
    74,291.96x = 102,497.96 × 42,438.30
  4. Step 4: Simplify right side
    74,291.96x = 4,349,839,175.87
  5. Step 5: Solve for x
    x = 4,349,839,175.87/74,291.96
  6. Step 6: Final answer
    x = 58,550.60

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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.