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Finding the Fourth Proportional to 82,570.81, 123,824.52 and 35,155.84

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Solution

The fourth proportional to 82,570.81, 123,824.52 and 35,155.84 is: 52,720.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,570.81 : 123,824.52 = 35,155.84 : x
  2. Step 2: Convert to fraction form
    82,570.81/123,824.52 = 35,155.84/x
  3. Step 3: Cross multiply
    82,570.81x = 123,824.52 × 35,155.84
  4. Step 4: Simplify right side
    82,570.81x = 4,353,155,013.20
  5. Step 5: Solve for x
    x = 4,353,155,013.20/82,570.81
  6. Step 6: Final answer
    x = 52,720.27

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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.