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Finding the Fourth Proportional to 32,672.31, 49,001.63 and 9,292.47

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Solution

The fourth proportional to 32,672.31, 49,001.63 and 9,292.47 is: 13,936.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,672.31 : 49,001.63 = 9,292.47 : x
  2. Step 2: Convert to fraction form
    32,672.31/49,001.63 = 9,292.47/x
  3. Step 3: Cross multiply
    32,672.31x = 49,001.63 × 9,292.47
  4. Step 4: Simplify right side
    32,672.31x = 455,346,130.26
  5. Step 5: Solve for x
    x = 455,346,130.26/32,672.31
  6. Step 6: Final answer
    x = 13,936.76

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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.