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Finding the Fourth Proportional to 82,776, 124,188.48 and 47,740.80

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Solution

The fourth proportional to 82,776, 124,188.48 and 47,740.80 is: 71,625.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,776 : 124,188.48 = 47,740.80 : x
  2. Step 2: Convert to fraction form
    82,776/124,188.48 = 47,740.80/x
  3. Step 3: Cross multiply
    82,776x = 124,188.48 × 47,740.80
  4. Step 4: Simplify right side
    82,776x = 5,928,857,385.98
  5. Step 5: Solve for x
    x = 5,928,857,385.98/82,776
  6. Step 6: Final answer
    x = 71,625.32

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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.