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Finding the Fourth Proportional to 82,580.16, 123,870.24 and 35,832

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Solution

The fourth proportional to 82,580.16, 123,870.24 and 35,832 is: 53,748

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,580.16 : 123,870.24 = 35,832 : x
  2. Step 2: Convert to fraction form
    82,580.16/123,870.24 = 35,832/x
  3. Step 3: Cross multiply
    82,580.16x = 123,870.24 × 35,832
  4. Step 4: Simplify right side
    82,580.16x = 4,438,518,439.68
  5. Step 5: Solve for x
    x = 4,438,518,439.68/82,580.16
  6. Step 6: Final answer
    x = 53,748

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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.