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Finding the Fourth Proportional to 102,674.58, 141,691.14 and 57,962.58

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Solution

The fourth proportional to 102,674.58, 141,691.14 and 57,962.58 is: 79,988.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,674.58 : 141,691.14 = 57,962.58 : x
  2. Step 2: Convert to fraction form
    102,674.58/141,691.14 = 57,962.58/x
  3. Step 3: Cross multiply
    102,674.58x = 141,691.14 × 57,962.58
  4. Step 4: Simplify right side
    102,674.58x = 8,212,784,037.54
  5. Step 5: Solve for x
    x = 8,212,784,037.54/102,674.58
  6. Step 6: Final answer
    x = 79,988.48

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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.