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Finding the Fourth Proportional to 55,758.78, 83,640.60 and 22,024.71

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Solution

The fourth proportional to 55,758.78, 83,640.60 and 22,024.71 is: 33,038.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,758.78 : 83,640.60 = 22,024.71 : x
  2. Step 2: Convert to fraction form
    55,758.78/83,640.60 = 22,024.71/x
  3. Step 3: Cross multiply
    55,758.78x = 83,640.60 × 22,024.71
  4. Step 4: Simplify right side
    55,758.78x = 1,842,159,959.23
  5. Step 5: Solve for x
    x = 1,842,159,959.23/55,758.78
  6. Step 6: Final answer
    x = 33,038.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.