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Finding the Fourth Proportional to 32,254.50, 48,375.81 and 8,877.90

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Solution

The fourth proportional to 32,254.50, 48,375.81 and 8,877.90 is: 13,315.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,254.50 : 48,375.81 = 8,877.90 : x
  2. Step 2: Convert to fraction form
    32,254.50/48,375.81 = 8,877.90/x
  3. Step 3: Cross multiply
    32,254.50x = 48,375.81 × 8,877.90
  4. Step 4: Simplify right side
    32,254.50x = 429,475,603.60
  5. Step 5: Solve for x
    x = 429,475,603.60/32,254.50
  6. Step 6: Final answer
    x = 13,315.22

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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.