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Finding the Fourth Proportional to 76,507.68, 114,717.38 and 29,705.88

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Solution

The fourth proportional to 76,507.68, 114,717.38 and 29,705.88 is: 44,541.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,507.68 : 114,717.38 = 29,705.88 : x
  2. Step 2: Convert to fraction form
    76,507.68/114,717.38 = 29,705.88/x
  3. Step 3: Cross multiply
    76,507.68x = 114,717.38 × 29,705.88
  4. Step 4: Simplify right side
    76,507.68x = 3,407,780,724.19
  5. Step 5: Solve for x
    x = 3,407,780,724.19/76,507.68
  6. Step 6: Final answer
    x = 44,541.68

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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.