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Finding the Fourth Proportional to 82,702.80, 124,102.80 and 30,117.60

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Solution

The fourth proportional to 82,702.80, 124,102.80 and 30,117.60 is: 45,194.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,702.80 : 124,102.80 = 30,117.60 : x
  2. Step 2: Convert to fraction form
    82,702.80/124,102.80 = 30,117.60/x
  3. Step 3: Cross multiply
    82,702.80x = 124,102.80 × 30,117.60
  4. Step 4: Simplify right side
    82,702.80x = 3,737,678,489.28
  5. Step 5: Solve for x
    x = 3,737,678,489.28/82,702.80
  6. Step 6: Final answer
    x = 45,194.10

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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.