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Finding the Fourth Proportional to 54,883.50, 75,746.17 and 31,009.66

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Solution

The fourth proportional to 54,883.50, 75,746.17 and 31,009.66 is: 42,797.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,883.50 : 75,746.17 = 31,009.66 : x
  2. Step 2: Convert to fraction form
    54,883.50/75,746.17 = 31,009.66/x
  3. Step 3: Cross multiply
    54,883.50x = 75,746.17 × 31,009.66
  4. Step 4: Simplify right side
    54,883.50x = 2,348,862,978.00
  5. Step 5: Solve for x
    x = 2,348,862,978.00/54,883.50
  6. Step 6: Final answer
    x = 42,797.25

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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.