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Finding the Fourth Proportional to 82,609.72, 114,053.34 and 54,363.40

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Solution

The fourth proportional to 82,609.72, 114,053.34 and 54,363.40 is: 75,055.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,609.72 : 114,053.34 = 54,363.40 : x
  2. Step 2: Convert to fraction form
    82,609.72/114,053.34 = 54,363.40/x
  3. Step 3: Cross multiply
    82,609.72x = 114,053.34 × 54,363.40
  4. Step 4: Simplify right side
    82,609.72x = 6,200,327,343.76
  5. Step 5: Solve for x
    x = 6,200,327,343.76/82,609.72
  6. Step 6: Final answer
    x = 75,055.66

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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.