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Finding the Fourth Proportional to 32,569.16, 48,854.58 and 8,876.90

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Solution

The fourth proportional to 32,569.16, 48,854.58 and 8,876.90 is: 13,315.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,569.16 : 48,854.58 = 8,876.90 : x
  2. Step 2: Convert to fraction form
    32,569.16/48,854.58 = 8,876.90/x
  3. Step 3: Cross multiply
    32,569.16x = 48,854.58 × 8,876.90
  4. Step 4: Simplify right side
    32,569.16x = 433,677,221.20
  5. Step 5: Solve for x
    x = 433,677,221.20/32,569.16
  6. Step 6: Final answer
    x = 13,315.58

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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.