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Finding the Fourth Proportional to 78,586.90, 117,908.77 and 48,566

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Solution

The fourth proportional to 78,586.90, 117,908.77 and 48,566 is: 72,866.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,586.90 : 117,908.77 = 48,566 : x
  2. Step 2: Convert to fraction form
    78,586.90/117,908.77 = 48,566/x
  3. Step 3: Cross multiply
    78,586.90x = 117,908.77 × 48,566
  4. Step 4: Simplify right side
    78,586.90x = 5,726,357,323.82
  5. Step 5: Solve for x
    x = 5,726,357,323.82/78,586.90
  6. Step 6: Final answer
    x = 72,866.56

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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.