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Finding the Fourth Proportional to 98,109.50, 147,165.66 and 27,988.82

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Solution

The fourth proportional to 98,109.50, 147,165.66 and 27,988.82 is: 41,983.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,109.50 : 147,165.66 = 27,988.82 : x
  2. Step 2: Convert to fraction form
    98,109.50/147,165.66 = 27,988.82/x
  3. Step 3: Cross multiply
    98,109.50x = 147,165.66 × 27,988.82
  4. Step 4: Simplify right side
    98,109.50x = 4,118,993,167.92
  5. Step 5: Solve for x
    x = 4,118,993,167.92/98,109.50
  6. Step 6: Final answer
    x = 41,983.63

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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.