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Finding the Fourth Proportional to 32,931.97, 49,389.14 and 9,238.10

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Solution

The fourth proportional to 32,931.97, 49,389.14 and 9,238.10 is: 13,854.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,931.97 : 49,389.14 = 9,238.10 : x
  2. Step 2: Convert to fraction form
    32,931.97/49,389.14 = 9,238.10/x
  3. Step 3: Cross multiply
    32,931.97x = 49,389.14 × 9,238.10
  4. Step 4: Simplify right side
    32,931.97x = 456,261,868.20
  5. Step 5: Solve for x
    x = 456,261,868.20/32,931.97
  6. Step 6: Final answer
    x = 13,854.68

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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.