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Finding the Fourth Proportional to 98,577.20, 136,036.53 and 53,865.20

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Solution

The fourth proportional to 98,577.20, 136,036.53 and 53,865.20 is: 74,333.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,577.20 : 136,036.53 = 53,865.20 : x
  2. Step 2: Convert to fraction form
    98,577.20/136,036.53 = 53,865.20/x
  3. Step 3: Cross multiply
    98,577.20x = 136,036.53 × 53,865.20
  4. Step 4: Simplify right side
    98,577.20x = 7,327,634,215.57
  5. Step 5: Solve for x
    x = 7,327,634,215.57/98,577.20
  6. Step 6: Final answer
    x = 74,333.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.