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Finding the Fourth Proportional to 82,666.01, 113,973.46 and 53,542.97

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Solution

The fourth proportional to 82,666.01, 113,973.46 and 53,542.97 is: 73,820.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,666.01 : 113,973.46 = 53,542.97 : x
  2. Step 2: Convert to fraction form
    82,666.01/113,973.46 = 53,542.97/x
  3. Step 3: Cross multiply
    82,666.01x = 113,973.46 × 53,542.97
  4. Step 4: Simplify right side
    82,666.01x = 6,102,477,911.38
  5. Step 5: Solve for x
    x = 6,102,477,911.38/82,666.01
  6. Step 6: Final answer
    x = 73,820.88

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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.