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Finding the Fourth Proportional to 37,595.50, 56,397.06 and 13,909.30

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Solution

The fourth proportional to 37,595.50, 56,397.06 and 13,909.30 is: 20,865.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,595.50 : 56,397.06 = 13,909.30 : x
  2. Step 2: Convert to fraction form
    37,595.50/56,397.06 = 13,909.30/x
  3. Step 3: Cross multiply
    37,595.50x = 56,397.06 × 13,909.30
  4. Step 4: Simplify right side
    37,595.50x = 784,443,626.66
  5. Step 5: Solve for x
    x = 784,443,626.66/37,595.50
  6. Step 6: Final answer
    x = 20,865.36

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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.