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Finding the Fourth Proportional to 89,856.88, 124,000.46 and 49,574.48

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Solution

The fourth proportional to 89,856.88, 124,000.46 and 49,574.48 is: 68,411.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,856.88 : 124,000.46 = 49,574.48 : x
  2. Step 2: Convert to fraction form
    89,856.88/124,000.46 = 49,574.48/x
  3. Step 3: Cross multiply
    89,856.88x = 124,000.46 × 49,574.48
  4. Step 4: Simplify right side
    89,856.88x = 6,147,258,324.26
  5. Step 5: Solve for x
    x = 6,147,258,324.26/89,856.88
  6. Step 6: Final answer
    x = 68,411.66

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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.