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Finding the Fourth Proportional to 32,501.26, 48,748.11 and 9,129.70

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Solution

The fourth proportional to 32,501.26, 48,748.11 and 9,129.70 is: 13,693.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,501.26 : 48,748.11 = 9,129.70 : x
  2. Step 2: Convert to fraction form
    32,501.26/48,748.11 = 9,129.70/x
  3. Step 3: Cross multiply
    32,501.26x = 48,748.11 × 9,129.70
  4. Step 4: Simplify right side
    32,501.26x = 445,055,619.87
  5. Step 5: Solve for x
    x = 445,055,619.87/32,501.26
  6. Step 6: Final answer
    x = 13,693.49

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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.