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Finding the Fourth Proportional to 99,827.32, 137,762 and 54,505.70

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Solution

The fourth proportional to 99,827.32, 137,762 and 54,505.70 is: 75,218.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,827.32 : 137,762 = 54,505.70 : x
  2. Step 2: Convert to fraction form
    99,827.32/137,762 = 54,505.70/x
  3. Step 3: Cross multiply
    99,827.32x = 137,762 × 54,505.70
  4. Step 4: Simplify right side
    99,827.32x = 7,508,814,243.40
  5. Step 5: Solve for x
    x = 7,508,814,243.40/99,827.32
  6. Step 6: Final answer
    x = 75,218.03

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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.