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Finding the Fourth Proportional to 74,702.84, 112,077.76 and 22,112.78

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Solution

The fourth proportional to 74,702.84, 112,077.76 and 22,112.78 is: 33,176.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,702.84 : 112,077.76 = 22,112.78 : x
  2. Step 2: Convert to fraction form
    74,702.84/112,077.76 = 22,112.78/x
  3. Step 3: Cross multiply
    74,702.84x = 112,077.76 × 22,112.78
  4. Step 4: Simplify right side
    74,702.84x = 2,478,350,849.77
  5. Step 5: Solve for x
    x = 2,478,350,849.77/74,702.84
  6. Step 6: Final answer
    x = 33,176.13

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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.