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Finding the Fourth Proportional to 58,098.24, 86,983.16 and 36,986

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Solution

The fourth proportional to 58,098.24, 86,983.16 and 36,986 is: 55,374.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,098.24 : 86,983.16 = 36,986 : x
  2. Step 2: Convert to fraction form
    58,098.24/86,983.16 = 36,986/x
  3. Step 3: Cross multiply
    58,098.24x = 86,983.16 × 36,986
  4. Step 4: Simplify right side
    58,098.24x = 3,217,159,155.76
  5. Step 5: Solve for x
    x = 3,217,159,155.76/58,098.24
  6. Step 6: Final answer
    x = 55,374.47

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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.