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Finding the Fourth Proportional to 84,897.92, 127,180.47 and 49,284.54

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Solution

The fourth proportional to 84,897.92, 127,180.47 and 49,284.54 is: 73,830.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,897.92 : 127,180.47 = 49,284.54 : x
  2. Step 2: Convert to fraction form
    84,897.92/127,180.47 = 49,284.54/x
  3. Step 3: Cross multiply
    84,897.92x = 127,180.47 × 49,284.54
  4. Step 4: Simplify right side
    84,897.92x = 6,268,031,253.04
  5. Step 5: Solve for x
    x = 6,268,031,253.04/84,897.92
  6. Step 6: Final answer
    x = 73,830.21

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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.