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Finding the Fourth Proportional to 92,077.84, 138,085.44 and 35,913.52

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Solution

The fourth proportional to 92,077.84, 138,085.44 and 35,913.52 is: 53,858.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,077.84 : 138,085.44 = 35,913.52 : x
  2. Step 2: Convert to fraction form
    92,077.84/138,085.44 = 35,913.52/x
  3. Step 3: Cross multiply
    92,077.84x = 138,085.44 × 35,913.52
  4. Step 4: Simplify right side
    92,077.84x = 4,959,134,211.15
  5. Step 5: Solve for x
    x = 4,959,134,211.15/92,077.84
  6. Step 6: Final answer
    x = 53,858.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.