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Finding the Fourth Proportional to 52,115.80, 78,177.32 and 20,951

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Solution

The fourth proportional to 52,115.80, 78,177.32 and 20,951 is: 31,427.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,115.80 : 78,177.32 = 20,951 : x
  2. Step 2: Convert to fraction form
    52,115.80/78,177.32 = 20,951/x
  3. Step 3: Cross multiply
    52,115.80x = 78,177.32 × 20,951
  4. Step 4: Simplify right side
    52,115.80x = 1,637,893,031.32
  5. Step 5: Solve for x
    x = 1,637,893,031.32/52,115.80
  6. Step 6: Final answer
    x = 31,427.96

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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.