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Finding the Fourth Proportional to 32,509.60, 48,730.80 and 17,687.20

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Solution

The fourth proportional to 32,509.60, 48,730.80 and 17,687.20 is: 26,512.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,509.60 : 48,730.80 = 17,687.20 : x
  2. Step 2: Convert to fraction form
    32,509.60/48,730.80 = 17,687.20/x
  3. Step 3: Cross multiply
    32,509.60x = 48,730.80 × 17,687.20
  4. Step 4: Simplify right side
    32,509.60x = 861,911,405.76
  5. Step 5: Solve for x
    x = 861,911,405.76/32,509.60
  6. Step 6: Final answer
    x = 26,512.52

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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.