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Finding the Fourth Proportional to 71,142.32, 106,726.44 and 24,384.80

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Solution

The fourth proportional to 71,142.32, 106,726.44 and 24,384.80 is: 36,581.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,142.32 : 106,726.44 = 24,384.80 : x
  2. Step 2: Convert to fraction form
    71,142.32/106,726.44 = 24,384.80/x
  3. Step 3: Cross multiply
    71,142.32x = 106,726.44 × 24,384.80
  4. Step 4: Simplify right side
    71,142.32x = 2,602,502,894.11
  5. Step 5: Solve for x
    x = 2,602,502,894.11/71,142.32
  6. Step 6: Final answer
    x = 36,581.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.