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Finding the Fourth Proportional to 32,869.60, 49,336.80 and 16,248.40

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Solution

The fourth proportional to 32,869.60, 49,336.80 and 16,248.40 is: 24,388.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,869.60 : 49,336.80 = 16,248.40 : x
  2. Step 2: Convert to fraction form
    32,869.60/49,336.80 = 16,248.40/x
  3. Step 3: Cross multiply
    32,869.60x = 49,336.80 × 16,248.40
  4. Step 4: Simplify right side
    32,869.60x = 801,644,061.12
  5. Step 5: Solve for x
    x = 801,644,061.12/32,869.60
  6. Step 6: Final answer
    x = 24,388.62

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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.