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Finding the Fourth Proportional to 32,006.70, 48,010.05 and 14,510.70

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Solution

The fourth proportional to 32,006.70, 48,010.05 and 14,510.70 is: 21,766.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,006.70 : 48,010.05 = 14,510.70 : x
  2. Step 2: Convert to fraction form
    32,006.70/48,010.05 = 14,510.70/x
  3. Step 3: Cross multiply
    32,006.70x = 48,010.05 × 14,510.70
  4. Step 4: Simplify right side
    32,006.70x = 696,659,432.54
  5. Step 5: Solve for x
    x = 696,659,432.54/32,006.70
  6. Step 6: Final answer
    x = 21,766.05

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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.