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Finding the Fourth Proportional to 92,587.80, 138,932.10 and 50,465.40

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Solution

The fourth proportional to 92,587.80, 138,932.10 and 50,465.40 is: 75,725.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,587.80 : 138,932.10 = 50,465.40 : x
  2. Step 2: Convert to fraction form
    92,587.80/138,932.10 = 50,465.40/x
  3. Step 3: Cross multiply
    92,587.80x = 138,932.10 × 50,465.40
  4. Step 4: Simplify right side
    92,587.80x = 7,011,263,999.34
  5. Step 5: Solve for x
    x = 7,011,263,999.34/92,587.80
  6. Step 6: Final answer
    x = 75,725.57

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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.