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Finding the Fourth Proportional to 32,053.20, 48,062.16 and 9,860.40

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Solution

The fourth proportional to 32,053.20, 48,062.16 and 9,860.40 is: 14,785.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,053.20 : 48,062.16 = 9,860.40 : x
  2. Step 2: Convert to fraction form
    32,053.20/48,062.16 = 9,860.40/x
  3. Step 3: Cross multiply
    32,053.20x = 48,062.16 × 9,860.40
  4. Step 4: Simplify right side
    32,053.20x = 473,912,122.46
  5. Step 5: Solve for x
    x = 473,912,122.46/32,053.20
  6. Step 6: Final answer
    x = 14,785.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.