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Finding the Fourth Proportional to 92,581.86, 127,762.65 and 50,140.38

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Solution

The fourth proportional to 92,581.86, 127,762.65 and 50,140.38 is: 69,193.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,581.86 : 127,762.65 = 50,140.38 : x
  2. Step 2: Convert to fraction form
    92,581.86/127,762.65 = 50,140.38/x
  3. Step 3: Cross multiply
    92,581.86x = 127,762.65 × 50,140.38
  4. Step 4: Simplify right side
    92,581.86x = 6,406,067,820.81
  5. Step 5: Solve for x
    x = 6,406,067,820.81/92,581.86
  6. Step 6: Final answer
    x = 69,193.55

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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.