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Finding the Fourth Proportional to 99,714, 137,615.04 and 55,002

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Solution

The fourth proportional to 99,714, 137,615.04 and 55,002 is: 75,908.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,714 : 137,615.04 = 55,002 : x
  2. Step 2: Convert to fraction form
    99,714/137,615.04 = 55,002/x
  3. Step 3: Cross multiply
    99,714x = 137,615.04 × 55,002
  4. Step 4: Simplify right side
    99,714x = 7,569,102,430.08
  5. Step 5: Solve for x
    x = 7,569,102,430.08/99,714
  6. Step 6: Final answer
    x = 75,908.12

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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.