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Finding the Fourth Proportional to 98,272, 135,615.24 and 53,560

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Solution

The fourth proportional to 98,272, 135,615.24 and 53,560 is: 73,912.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,272 : 135,615.24 = 53,560 : x
  2. Step 2: Convert to fraction form
    98,272/135,615.24 = 53,560/x
  3. Step 3: Cross multiply
    98,272x = 135,615.24 × 53,560
  4. Step 4: Simplify right side
    98,272x = 7,263,552,254.40
  5. Step 5: Solve for x
    x = 7,263,552,254.40/98,272
  6. Step 6: Final answer
    x = 73,912.73

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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.