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Finding the Fourth Proportional to 92,823.60, 128,151.52 and 61,047.30

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Solution

The fourth proportional to 92,823.60, 128,151.52 and 61,047.30 is: 84,281.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,823.60 : 128,151.52 = 61,047.30 : x
  2. Step 2: Convert to fraction form
    92,823.60/128,151.52 = 61,047.30/x
  3. Step 3: Cross multiply
    92,823.60x = 128,151.52 × 61,047.30
  4. Step 4: Simplify right side
    92,823.60x = 7,823,304,286.90
  5. Step 5: Solve for x
    x = 7,823,304,286.90/92,823.60
  6. Step 6: Final answer
    x = 84,281.41

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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.