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Finding the Fourth Proportional to 85,728.76, 128,626.86 and 26,569

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Solution

The fourth proportional to 85,728.76, 128,626.86 and 26,569 is: 39,863.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,728.76 : 128,626.86 = 26,569 : x
  2. Step 2: Convert to fraction form
    85,728.76/128,626.86 = 26,569/x
  3. Step 3: Cross multiply
    85,728.76x = 128,626.86 × 26,569
  4. Step 4: Simplify right side
    85,728.76x = 3,417,487,043.34
  5. Step 5: Solve for x
    x = 3,417,487,043.34/85,728.76
  6. Step 6: Final answer
    x = 39,863.95

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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.