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Finding the Fourth Proportional to 32,385.47, 48,581.04 and 9,901.22

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Solution

The fourth proportional to 32,385.47, 48,581.04 and 9,901.22 is: 14,852.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,385.47 : 48,581.04 = 9,901.22 : x
  2. Step 2: Convert to fraction form
    32,385.47/48,581.04 = 9,901.22/x
  3. Step 3: Cross multiply
    32,385.47x = 48,581.04 × 9,901.22
  4. Step 4: Simplify right side
    32,385.47x = 481,011,564.87
  5. Step 5: Solve for x
    x = 481,011,564.87/32,385.47
  6. Step 6: Final answer
    x = 14,852.70

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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.