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Finding the Fourth Proportional to 32,076.88, 48,113.40 and 8,702.80

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Solution

The fourth proportional to 32,076.88, 48,113.40 and 8,702.80 is: 13,053.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,076.88 : 48,113.40 = 8,702.80 : x
  2. Step 2: Convert to fraction form
    32,076.88/48,113.40 = 8,702.80/x
  3. Step 3: Cross multiply
    32,076.88x = 48,113.40 × 8,702.80
  4. Step 4: Simplify right side
    32,076.88x = 418,721,297.52
  5. Step 5: Solve for x
    x = 418,721,297.52/32,076.88
  6. Step 6: Final answer
    x = 13,053.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.