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Finding the Fourth Proportional to 98,125.62, 147,162 and 27,031.32

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Solution

The fourth proportional to 98,125.62, 147,162 and 27,031.32 is: 40,539.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,125.62 : 147,162 = 27,031.32 : x
  2. Step 2: Convert to fraction form
    98,125.62/147,162 = 27,031.32/x
  3. Step 3: Cross multiply
    98,125.62x = 147,162 × 27,031.32
  4. Step 4: Simplify right side
    98,125.62x = 3,977,983,113.84
  5. Step 5: Solve for x
    x = 3,977,983,113.84/98,125.62
  6. Step 6: Final answer
    x = 40,539.70

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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.