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Finding the Fourth Proportional to 32,515.68, 48,763.90 and 13,795.48

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Solution

The fourth proportional to 32,515.68, 48,763.90 and 13,795.48 is: 20,689.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,515.68 : 48,763.90 = 13,795.48 : x
  2. Step 2: Convert to fraction form
    32,515.68/48,763.90 = 13,795.48/x
  3. Step 3: Cross multiply
    32,515.68x = 48,763.90 × 13,795.48
  4. Step 4: Simplify right side
    32,515.68x = 672,721,407.17
  5. Step 5: Solve for x
    x = 672,721,407.17/32,515.68
  6. Step 6: Final answer
    x = 20,689.14

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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.