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Finding the Fourth Proportional to 98,406.72, 147,633.12 and 31,844.16

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Solution

The fourth proportional to 98,406.72, 147,633.12 and 31,844.16 is: 47,773.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,406.72 : 147,633.12 = 31,844.16 : x
  2. Step 2: Convert to fraction form
    98,406.72/147,633.12 = 31,844.16/x
  3. Step 3: Cross multiply
    98,406.72x = 147,633.12 × 31,844.16
  4. Step 4: Simplify right side
    98,406.72x = 4,701,252,694.58
  5. Step 5: Solve for x
    x = 4,701,252,694.58/98,406.72
  6. Step 6: Final answer
    x = 47,773.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.