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Finding the Fourth Proportional to 98,076.94, 147,071.63 and 27,939.85

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Solution

The fourth proportional to 98,076.94, 147,071.63 and 27,939.85 is: 41,897.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,076.94 : 147,071.63 = 27,939.85 : x
  2. Step 2: Convert to fraction form
    98,076.94/147,071.63 = 27,939.85/x
  3. Step 3: Cross multiply
    98,076.94x = 147,071.63 × 27,939.85
  4. Step 4: Simplify right side
    98,076.94x = 4,109,159,281.46
  5. Step 5: Solve for x
    x = 4,109,159,281.46/98,076.94
  6. Step 6: Final answer
    x = 41,897.30

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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.