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Finding the Fourth Proportional to 75,973.92, 114,009.76 and 40,937.92

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Solution

The fourth proportional to 75,973.92, 114,009.76 and 40,937.92 is: 61,433.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,973.92 : 114,009.76 = 40,937.92 : x
  2. Step 2: Convert to fraction form
    75,973.92/114,009.76 = 40,937.92/x
  3. Step 3: Cross multiply
    75,973.92x = 114,009.76 × 40,937.92
  4. Step 4: Simplify right side
    75,973.92x = 4,667,322,434.10
  5. Step 5: Solve for x
    x = 4,667,322,434.10/75,973.92
  6. Step 6: Final answer
    x = 61,433.22

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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.