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Finding the Fourth Proportional to 32,053.20, 48,078.72 and 14,510.76

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Solution

The fourth proportional to 32,053.20, 48,078.72 and 14,510.76 is: 21,765.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,053.20 : 48,078.72 = 14,510.76 : x
  2. Step 2: Convert to fraction form
    32,053.20/48,078.72 = 14,510.76/x
  3. Step 3: Cross multiply
    32,053.20x = 48,078.72 × 14,510.76
  4. Step 4: Simplify right side
    32,053.20x = 697,658,767.03
  5. Step 5: Solve for x
    x = 697,658,767.03/32,053.20
  6. Step 6: Final answer
    x = 21,765.65

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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.