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Finding the Fourth Proportional to 32,407.10, 48,616.05 and 12,686.30

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Solution

The fourth proportional to 32,407.10, 48,616.05 and 12,686.30 is: 19,031.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,407.10 : 48,616.05 = 12,686.30 : x
  2. Step 2: Convert to fraction form
    32,407.10/48,616.05 = 12,686.30/x
  3. Step 3: Cross multiply
    32,407.10x = 48,616.05 × 12,686.30
  4. Step 4: Simplify right side
    32,407.10x = 616,757,795.12
  5. Step 5: Solve for x
    x = 616,757,795.12/32,407.10
  6. Step 6: Final answer
    x = 19,031.56

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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.