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Finding the Fourth Proportional to 32,565.48, 48,815.40 and 12,836.40

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Solution

The fourth proportional to 32,565.48, 48,815.40 and 12,836.40 is: 19,241.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,565.48 : 48,815.40 = 12,836.40 : x
  2. Step 2: Convert to fraction form
    32,565.48/48,815.40 = 12,836.40/x
  3. Step 3: Cross multiply
    32,565.48x = 48,815.40 × 12,836.40
  4. Step 4: Simplify right side
    32,565.48x = 626,614,000.56
  5. Step 5: Solve for x
    x = 626,614,000.56/32,565.48
  6. Step 6: Final answer
    x = 19,241.66

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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.