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Finding the Fourth Proportional to 77,496, 106,953.12 and 43,972.80

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Solution

The fourth proportional to 77,496, 106,953.12 and 43,972.80 is: 60,687.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,496 : 106,953.12 = 43,972.80 : x
  2. Step 2: Convert to fraction form
    77,496/106,953.12 = 43,972.80/x
  3. Step 3: Cross multiply
    77,496x = 106,953.12 × 43,972.80
  4. Step 4: Simplify right side
    77,496x = 4,703,028,155.14
  5. Step 5: Solve for x
    x = 4,703,028,155.14/77,496
  6. Step 6: Final answer
    x = 60,687.37

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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.