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Finding the Fourth Proportional to 96,492.48, 144,748.44 and 33,304.20

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Solution

The fourth proportional to 96,492.48, 144,748.44 and 33,304.20 is: 49,959.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,492.48 : 144,748.44 = 33,304.20 : x
  2. Step 2: Convert to fraction form
    96,492.48/144,748.44 = 33,304.20/x
  3. Step 3: Cross multiply
    96,492.48x = 144,748.44 × 33,304.20
  4. Step 4: Simplify right side
    96,492.48x = 4,820,730,995.45
  5. Step 5: Solve for x
    x = 4,820,730,995.45/96,492.48
  6. Step 6: Final answer
    x = 49,959.65

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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.