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Finding the Fourth Proportional to 32,597.56, 48,862.14 and 15,078.88

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Solution

The fourth proportional to 32,597.56, 48,862.14 and 15,078.88 is: 22,602.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,597.56 : 48,862.14 = 15,078.88 : x
  2. Step 2: Convert to fraction form
    32,597.56/48,862.14 = 15,078.88/x
  3. Step 3: Cross multiply
    32,597.56x = 48,862.14 × 15,078.88
  4. Step 4: Simplify right side
    32,597.56x = 736,786,345.60
  5. Step 5: Solve for x
    x = 736,786,345.60/32,597.56
  6. Step 6: Final answer
    x = 22,602.50

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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.