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Finding the Fourth Proportional to 98,709.40, 147,966.90 and 48,797.20

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Solution

The fourth proportional to 98,709.40, 147,966.90 and 48,797.20 is: 73,147.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,709.40 : 147,966.90 = 48,797.20 : x
  2. Step 2: Convert to fraction form
    98,709.40/147,966.90 = 48,797.20/x
  3. Step 3: Cross multiply
    98,709.40x = 147,966.90 × 48,797.20
  4. Step 4: Simplify right side
    98,709.40x = 7,220,370,412.68
  5. Step 5: Solve for x
    x = 7,220,370,412.68/98,709.40
  6. Step 6: Final answer
    x = 73,147.75

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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.