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Finding the Fourth Proportional to 42,369.64, 58,470.17 and 23,506.77

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Solution

The fourth proportional to 42,369.64, 58,470.17 and 23,506.77 is: 32,439.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,369.64 : 58,470.17 = 23,506.77 : x
  2. Step 2: Convert to fraction form
    42,369.64/58,470.17 = 23,506.77/x
  3. Step 3: Cross multiply
    42,369.64x = 58,470.17 × 23,506.77
  4. Step 4: Simplify right side
    42,369.64x = 1,374,444,838.05
  5. Step 5: Solve for x
    x = 1,374,444,838.05/42,369.64
  6. Step 6: Final answer
    x = 32,439.38

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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.