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Finding the Fourth Proportional to 32,264.88, 48,416 and 13,543.28

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Solution

The fourth proportional to 32,264.88, 48,416 and 13,543.28 is: 20,322.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,264.88 : 48,416 = 13,543.28 : x
  2. Step 2: Convert to fraction form
    32,264.88/48,416 = 13,543.28/x
  3. Step 3: Cross multiply
    32,264.88x = 48,416 × 13,543.28
  4. Step 4: Simplify right side
    32,264.88x = 655,711,444.48
  5. Step 5: Solve for x
    x = 655,711,444.48/32,264.88
  6. Step 6: Final answer
    x = 20,322.76

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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.