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Finding the Fourth Proportional to 32,348.64, 48,445.20 and 18,455.52

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Solution

The fourth proportional to 32,348.64, 48,445.20 and 18,455.52 is: 27,638.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,348.64 : 48,445.20 = 18,455.52 : x
  2. Step 2: Convert to fraction form
    32,348.64/48,445.20 = 18,455.52/x
  3. Step 3: Cross multiply
    32,348.64x = 48,445.20 × 18,455.52
  4. Step 4: Simplify right side
    32,348.64x = 894,081,357.50
  5. Step 5: Solve for x
    x = 894,081,357.50/32,348.64
  6. Step 6: Final answer
    x = 27,638.92

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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.