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Finding the Fourth Proportional to 84,329.40, 126,494.10 and 48,851.40

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Solution

The fourth proportional to 84,329.40, 126,494.10 and 48,851.40 is: 73,277.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,329.40 : 126,494.10 = 48,851.40 : x
  2. Step 2: Convert to fraction form
    84,329.40/126,494.10 = 48,851.40/x
  3. Step 3: Cross multiply
    84,329.40x = 126,494.10 × 48,851.40
  4. Step 4: Simplify right side
    84,329.40x = 6,179,413,876.74
  5. Step 5: Solve for x
    x = 6,179,413,876.74/84,329.40
  6. Step 6: Final answer
    x = 73,277.10

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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.