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Finding the Fourth Proportional to 98,594.80, 147,892.20 and 32,037.10

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Solution

The fourth proportional to 98,594.80, 147,892.20 and 32,037.10 is: 48,055.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,594.80 : 147,892.20 = 32,037.10 : x
  2. Step 2: Convert to fraction form
    98,594.80/147,892.20 = 32,037.10/x
  3. Step 3: Cross multiply
    98,594.80x = 147,892.20 × 32,037.10
  4. Step 4: Simplify right side
    98,594.80x = 4,738,037,200.62
  5. Step 5: Solve for x
    x = 4,738,037,200.62/98,594.80
  6. Step 6: Final answer
    x = 48,055.65

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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.