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Finding the Fourth Proportional to 55,759.84, 76,948.86 and 31,887.52

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Solution

The fourth proportional to 55,759.84, 76,948.86 and 31,887.52 is: 44,004.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,759.84 : 76,948.86 = 31,887.52 : x
  2. Step 2: Convert to fraction form
    55,759.84/76,948.86 = 31,887.52/x
  3. Step 3: Cross multiply
    55,759.84x = 76,948.86 × 31,887.52
  4. Step 4: Simplify right side
    55,759.84x = 2,453,708,312.23
  5. Step 5: Solve for x
    x = 2,453,708,312.23/55,759.84
  6. Step 6: Final answer
    x = 44,004.94

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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.