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Finding the Fourth Proportional to 98,506.45, 147,819.43 and 39,337.16

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Solution

The fourth proportional to 98,506.45, 147,819.43 and 39,337.16 is: 59,029.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,506.45 : 147,819.43 = 39,337.16 : x
  2. Step 2: Convert to fraction form
    98,506.45/147,819.43 = 39,337.16/x
  3. Step 3: Cross multiply
    98,506.45x = 147,819.43 × 39,337.16
  4. Step 4: Simplify right side
    98,506.45x = 5,814,796,569.02
  5. Step 5: Solve for x
    x = 5,814,796,569.02/98,506.45
  6. Step 6: Final answer
    x = 59,029.61

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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.