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Finding the Fourth Proportional to 32,510.70, 48,772.86 and 18,477.24

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Solution

The fourth proportional to 32,510.70, 48,772.86 and 18,477.24 is: 27,719.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,510.70 : 48,772.86 = 18,477.24 : x
  2. Step 2: Convert to fraction form
    32,510.70/48,772.86 = 18,477.24/x
  3. Step 3: Cross multiply
    32,510.70x = 48,772.86 × 18,477.24
  4. Step 4: Simplify right side
    32,510.70x = 901,187,839.71
  5. Step 5: Solve for x
    x = 901,187,839.71/32,510.70
  6. Step 6: Final answer
    x = 27,719.73

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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.