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Finding the Fourth Proportional to 98,532, 135,977.52 and 53,822.88

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Solution

The fourth proportional to 98,532, 135,977.52 and 53,822.88 is: 74,277.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,532 : 135,977.52 = 53,822.88 : x
  2. Step 2: Convert to fraction form
    98,532/135,977.52 = 53,822.88/x
  3. Step 3: Cross multiply
    98,532x = 135,977.52 × 53,822.88
  4. Step 4: Simplify right side
    98,532x = 7,318,701,741.66
  5. Step 5: Solve for x
    x = 7,318,701,741.66/98,532
  6. Step 6: Final answer
    x = 74,277.41

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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.