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Finding the Fourth Proportional to 75,309.51, 103,841.91 and 48,049.12

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Solution

The fourth proportional to 75,309.51, 103,841.91 and 48,049.12 is: 66,253.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,309.51 : 103,841.91 = 48,049.12 : x
  2. Step 2: Convert to fraction form
    75,309.51/103,841.91 = 48,049.12/x
  3. Step 3: Cross multiply
    75,309.51x = 103,841.91 × 48,049.12
  4. Step 4: Simplify right side
    75,309.51x = 4,989,512,394.62
  5. Step 5: Solve for x
    x = 4,989,512,394.62/75,309.51
  6. Step 6: Final answer
    x = 66,253.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.