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Finding the Fourth Proportional to 52,284.80, 78,427.31 and 20,702.30

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Solution

The fourth proportional to 52,284.80, 78,427.31 and 20,702.30 is: 31,053.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,284.80 : 78,427.31 = 20,702.30 : x
  2. Step 2: Convert to fraction form
    52,284.80/78,427.31 = 20,702.30/x
  3. Step 3: Cross multiply
    52,284.80x = 78,427.31 × 20,702.30
  4. Step 4: Simplify right side
    52,284.80x = 1,623,625,204.16
  5. Step 5: Solve for x
    x = 1,623,625,204.16/52,284.80
  6. Step 6: Final answer
    x = 31,053.49

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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.