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Finding the Fourth Proportional to 98,390.20, 147,566.10 and 31,814.20

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Solution

The fourth proportional to 98,390.20, 147,566.10 and 31,814.20 is: 47,715.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,390.20 : 147,566.10 = 31,814.20 : x
  2. Step 2: Convert to fraction form
    98,390.20/147,566.10 = 31,814.20/x
  3. Step 3: Cross multiply
    98,390.20x = 147,566.10 × 31,814.20
  4. Step 4: Simplify right side
    98,390.20x = 4,694,697,418.62
  5. Step 5: Solve for x
    x = 4,694,697,418.62/98,390.20
  6. Step 6: Final answer
    x = 47,715.09

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1.5x scale

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.