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Finding the Fourth Proportional to 98,186.48, 135,473.82 and 57,897.08

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Solution

The fourth proportional to 98,186.48, 135,473.82 and 57,897.08 is: 79,884.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,186.48 : 135,473.82 = 57,897.08 : x
  2. Step 2: Convert to fraction form
    98,186.48/135,473.82 = 57,897.08/x
  3. Step 3: Cross multiply
    98,186.48x = 135,473.82 × 57,897.08
  4. Step 4: Simplify right side
    98,186.48x = 7,843,538,594.45
  5. Step 5: Solve for x
    x = 7,843,538,594.45/98,186.48
  6. Step 6: Final answer
    x = 79,884.10

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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.