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Finding the Fourth Proportional to 98,434.80, 147,652.20 and 36,097.20

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Solution

The fourth proportional to 98,434.80, 147,652.20 and 36,097.20 is: 54,145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,434.80 : 147,652.20 = 36,097.20 : x
  2. Step 2: Convert to fraction form
    98,434.80/147,652.20 = 36,097.20/x
  3. Step 3: Cross multiply
    98,434.80x = 147,652.20 × 36,097.20
  4. Step 4: Simplify right side
    98,434.80x = 5,329,830,993.84
  5. Step 5: Solve for x
    x = 5,329,830,993.84/98,434.80
  6. Step 6: Final answer
    x = 54,145.80

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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.