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Finding the Fourth Proportional to 96,398.40, 144,482.40 and 49,627.20

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Solution

The fourth proportional to 96,398.40, 144,482.40 and 49,627.20 is: 74,381.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,398.40 : 144,482.40 = 49,627.20 : x
  2. Step 2: Convert to fraction form
    96,398.40/144,482.40 = 49,627.20/x
  3. Step 3: Cross multiply
    96,398.40x = 144,482.40 × 49,627.20
  4. Step 4: Simplify right side
    96,398.40x = 7,170,256,961.28
  5. Step 5: Solve for x
    x = 7,170,256,961.28/96,398.40
  6. Step 6: Final answer
    x = 74,381.49

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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.