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Finding the Fourth Proportional to 52,077.98, 71,847.80 and 38,498.63

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Solution

The fourth proportional to 52,077.98, 71,847.80 and 38,498.63 is: 53,113.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,077.98 : 71,847.80 = 38,498.63 : x
  2. Step 2: Convert to fraction form
    52,077.98/71,847.80 = 38,498.63/x
  3. Step 3: Cross multiply
    52,077.98x = 71,847.80 × 38,498.63
  4. Step 4: Simplify right side
    52,077.98x = 2,766,041,688.89
  5. Step 5: Solve for x
    x = 2,766,041,688.89/52,077.98
  6. Step 6: Final answer
    x = 53,113.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.