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Finding the Fourth Proportional to 98,604.80, 147,907.20 and 32,047.10

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Solution

The fourth proportional to 98,604.80, 147,907.20 and 32,047.10 is: 48,070.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,604.80 : 147,907.20 = 32,047.10 : x
  2. Step 2: Convert to fraction form
    98,604.80/147,907.20 = 32,047.10/x
  3. Step 3: Cross multiply
    98,604.80x = 147,907.20 × 32,047.10
  4. Step 4: Simplify right side
    98,604.80x = 4,739,996,829.12
  5. Step 5: Solve for x
    x = 4,739,996,829.12/98,604.80
  6. Step 6: Final answer
    x = 48,070.65

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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.