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Finding the Fourth Proportional to 83,157.68, 124,767.50 and 49,901.60

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Solution

The fourth proportional to 83,157.68, 124,767.50 and 49,901.60 is: 74,870.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,157.68 : 124,767.50 = 49,901.60 : x
  2. Step 2: Convert to fraction form
    83,157.68/124,767.50 = 49,901.60/x
  3. Step 3: Cross multiply
    83,157.68x = 124,767.50 × 49,901.60
  4. Step 4: Simplify right side
    83,157.68x = 6,226,097,878
  5. Step 5: Solve for x
    x = 6,226,097,878/83,157.68
  6. Step 6: Final answer
    x = 74,870.99

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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.