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Finding the Fourth Proportional to 52,221.12, 78,316.80 and 14,778.72

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Solution

The fourth proportional to 52,221.12, 78,316.80 and 14,778.72 is: 22,163.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,221.12 : 78,316.80 = 14,778.72 : x
  2. Step 2: Convert to fraction form
    52,221.12/78,316.80 = 14,778.72/x
  3. Step 3: Cross multiply
    52,221.12x = 78,316.80 × 14,778.72
  4. Step 4: Simplify right side
    52,221.12x = 1,157,422,058.50
  5. Step 5: Solve for x
    x = 1,157,422,058.50/52,221.12
  6. Step 6: Final answer
    x = 22,163.87

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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.