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Finding the Fourth Proportional to 98,384.80, 147,577.20 and 31,871.20

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Solution

The fourth proportional to 98,384.80, 147,577.20 and 31,871.20 is: 47,806.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,384.80 : 147,577.20 = 31,871.20 : x
  2. Step 2: Convert to fraction form
    98,384.80/147,577.20 = 31,871.20/x
  3. Step 3: Cross multiply
    98,384.80x = 147,577.20 × 31,871.20
  4. Step 4: Simplify right side
    98,384.80x = 4,703,462,456.64
  5. Step 5: Solve for x
    x = 4,703,462,456.64/98,384.80
  6. Step 6: Final answer
    x = 47,806.80

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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.