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Finding the Fourth Proportional to 89,955.75, 124,149.87 and 52,230

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Solution

The fourth proportional to 89,955.75, 124,149.87 and 52,230 is: 72,083.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,955.75 : 124,149.87 = 52,230 : x
  2. Step 2: Convert to fraction form
    89,955.75/124,149.87 = 52,230/x
  3. Step 3: Cross multiply
    89,955.75x = 124,149.87 × 52,230
  4. Step 4: Simplify right side
    89,955.75x = 6,484,347,710.10
  5. Step 5: Solve for x
    x = 6,484,347,710.10/89,955.75
  6. Step 6: Final answer
    x = 72,083.75

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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.