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Finding the Fourth Proportional to 52,649.96, 78,987.42 and 15,713

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Solution

The fourth proportional to 52,649.96, 78,987.42 and 15,713 is: 23,573.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,649.96 : 78,987.42 = 15,713 : x
  2. Step 2: Convert to fraction form
    52,649.96/78,987.42 = 15,713/x
  3. Step 3: Cross multiply
    52,649.96x = 78,987.42 × 15,713
  4. Step 4: Simplify right side
    52,649.96x = 1,241,129,330.46
  5. Step 5: Solve for x
    x = 1,241,129,330.46/52,649.96
  6. Step 6: Final answer
    x = 23,573.22

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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.