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Finding the Fourth Proportional to 98,556.10, 147,834.15 and 48,643.90

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Solution

The fourth proportional to 98,556.10, 147,834.15 and 48,643.90 is: 72,965.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,556.10 : 147,834.15 = 48,643.90 : x
  2. Step 2: Convert to fraction form
    98,556.10/147,834.15 = 48,643.90/x
  3. Step 3: Cross multiply
    98,556.10x = 147,834.15 × 48,643.90
  4. Step 4: Simplify right side
    98,556.10x = 7,191,229,609.19
  5. Step 5: Solve for x
    x = 7,191,229,609.19/98,556.10
  6. Step 6: Final answer
    x = 72,965.85

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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.