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Finding the Fourth Proportional to 54,889.54, 75,746.57 and 31,015.70

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Solution

The fourth proportional to 54,889.54, 75,746.57 and 31,015.70 is: 42,801.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,889.54 : 75,746.57 = 31,015.70 : x
  2. Step 2: Convert to fraction form
    54,889.54/75,746.57 = 31,015.70/x
  3. Step 3: Cross multiply
    54,889.54x = 75,746.57 × 31,015.70
  4. Step 4: Simplify right side
    54,889.54x = 2,349,332,512.42
  5. Step 5: Solve for x
    x = 2,349,332,512.42/54,889.54
  6. Step 6: Final answer
    x = 42,801.10

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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.