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Finding the Fourth Proportional to 84,897.44, 127,344.72 and 29,492

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Solution

The fourth proportional to 84,897.44, 127,344.72 and 29,492 is: 44,237.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,897.44 : 127,344.72 = 29,492 : x
  2. Step 2: Convert to fraction form
    84,897.44/127,344.72 = 29,492/x
  3. Step 3: Cross multiply
    84,897.44x = 127,344.72 × 29,492
  4. Step 4: Simplify right side
    84,897.44x = 3,755,650,482.24
  5. Step 5: Solve for x
    x = 3,755,650,482.24/84,897.44
  6. Step 6: Final answer
    x = 44,237.50

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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.