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Finding the Fourth Proportional to 32,597, 48,895.50 and 11,820.52

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Solution

The fourth proportional to 32,597, 48,895.50 and 11,820.52 is: 17,730.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,597 : 48,895.50 = 11,820.52 : x
  2. Step 2: Convert to fraction form
    32,597/48,895.50 = 11,820.52/x
  3. Step 3: Cross multiply
    32,597x = 48,895.50 × 11,820.52
  4. Step 4: Simplify right side
    32,597x = 577,970,235.66
  5. Step 5: Solve for x
    x = 577,970,235.66/32,597
  6. Step 6: Final answer
    x = 17,730.78

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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.