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Finding the Fourth Proportional to 32,248.80, 48,367.52 and 8,869.60

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Solution

The fourth proportional to 32,248.80, 48,367.52 and 8,869.60 is: 13,302.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,248.80 : 48,367.52 = 8,869.60 : x
  2. Step 2: Convert to fraction form
    32,248.80/48,367.52 = 8,869.60/x
  3. Step 3: Cross multiply
    32,248.80x = 48,367.52 × 8,869.60
  4. Step 4: Simplify right side
    32,248.80x = 429,000,555.39
  5. Step 5: Solve for x
    x = 429,000,555.39/32,248.80
  6. Step 6: Final answer
    x = 13,302.84

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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.