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Finding the Fourth Proportional to 82,777.50, 114,232.95 and 45,052.02

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Solution

The fourth proportional to 82,777.50, 114,232.95 and 45,052.02 is: 62,171.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,777.50 : 114,232.95 = 45,052.02 : x
  2. Step 2: Convert to fraction form
    82,777.50/114,232.95 = 45,052.02/x
  3. Step 3: Cross multiply
    82,777.50x = 114,232.95 × 45,052.02
  4. Step 4: Simplify right side
    82,777.50x = 5,146,425,148.06
  5. Step 5: Solve for x
    x = 5,146,425,148.06/82,777.50
  6. Step 6: Final answer
    x = 62,171.79

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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.