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Finding the Fourth Proportional to 92,698.31, 127,930.22 and 52,412.46

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Solution

The fourth proportional to 92,698.31, 127,930.22 and 52,412.46 is: 72,332.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,698.31 : 127,930.22 = 52,412.46 : x
  2. Step 2: Convert to fraction form
    92,698.31/127,930.22 = 52,412.46/x
  3. Step 3: Cross multiply
    92,698.31x = 127,930.22 × 52,412.46
  4. Step 4: Simplify right side
    92,698.31x = 6,705,137,276.48
  5. Step 5: Solve for x
    x = 6,705,137,276.48/92,698.31
  6. Step 6: Final answer
    x = 72,332.90

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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.