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Finding the Fourth Proportional to 82,590.16, 123,885.24 and 35,842

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Solution

The fourth proportional to 82,590.16, 123,885.24 and 35,842 is: 53,763

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,590.16 : 123,885.24 = 35,842 : x
  2. Step 2: Convert to fraction form
    82,590.16/123,885.24 = 35,842/x
  3. Step 3: Cross multiply
    82,590.16x = 123,885.24 × 35,842
  4. Step 4: Simplify right side
    82,590.16x = 4,440,294,772.08
  5. Step 5: Solve for x
    x = 4,440,294,772.08/82,590.16
  6. Step 6: Final answer
    x = 53,763

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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.