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Finding the Fourth Proportional to 98,713.96, 136,226.34 and 54,001

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Solution

The fourth proportional to 98,713.96, 136,226.34 and 54,001 is: 74,521.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,713.96 : 136,226.34 = 54,001 : x
  2. Step 2: Convert to fraction form
    98,713.96/136,226.34 = 54,001/x
  3. Step 3: Cross multiply
    98,713.96x = 136,226.34 × 54,001
  4. Step 4: Simplify right side
    98,713.96x = 7,356,358,586.34
  5. Step 5: Solve for x
    x = 7,356,358,586.34/98,713.96
  6. Step 6: Final answer
    x = 74,521.97

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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.