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Finding the Fourth Proportional to 32,260.56, 48,397.68 and 11,484

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Solution

The fourth proportional to 32,260.56, 48,397.68 and 11,484 is: 17,228.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,260.56 : 48,397.68 = 11,484 : x
  2. Step 2: Convert to fraction form
    32,260.56/48,397.68 = 11,484/x
  3. Step 3: Cross multiply
    32,260.56x = 48,397.68 × 11,484
  4. Step 4: Simplify right side
    32,260.56x = 555,798,957.12
  5. Step 5: Solve for x
    x = 555,798,957.12/32,260.56
  6. Step 6: Final answer
    x = 17,228.43

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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.