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Finding the Fourth Proportional to 32,607.61, 48,918.43 and 10,117.82

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Solution

The fourth proportional to 32,607.61, 48,918.43 and 10,117.82 is: 15,178.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,607.61 : 48,918.43 = 10,117.82 : x
  2. Step 2: Convert to fraction form
    32,607.61/48,918.43 = 10,117.82/x
  3. Step 3: Cross multiply
    32,607.61x = 48,918.43 × 10,117.82
  4. Step 4: Simplify right side
    32,607.61x = 494,948,073.16
  5. Step 5: Solve for x
    x = 494,948,073.16/32,607.61
  6. Step 6: Final answer
    x = 15,178.91

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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.