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Finding the Fourth Proportional to 84,196, 126,226.92 and 48,616.98

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Solution

The fourth proportional to 84,196, 126,226.92 and 48,616.98 is: 72,886.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,196 : 126,226.92 = 48,616.98 : x
  2. Step 2: Convert to fraction form
    84,196/126,226.92 = 48,616.98/x
  3. Step 3: Cross multiply
    84,196x = 126,226.92 × 48,616.98
  4. Step 4: Simplify right side
    84,196x = 6,136,771,645.10
  5. Step 5: Solve for x
    x = 6,136,771,645.10/84,196
  6. Step 6: Final answer
    x = 72,886.74

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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.