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Finding the Fourth Proportional to 77,433.49, 115,371.86 and 72,341.38

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Solution

The fourth proportional to 77,433.49, 115,371.86 and 72,341.38 is: 107,784.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,433.49 : 115,371.86 = 72,341.38 : x
  2. Step 2: Convert to fraction form
    77,433.49/115,371.86 = 72,341.38/x
  3. Step 3: Cross multiply
    77,433.49x = 115,371.86 × 72,341.38
  4. Step 4: Simplify right side
    77,433.49x = 8,346,159,565.57
  5. Step 5: Solve for x
    x = 8,346,159,565.57/77,433.49
  6. Step 6: Final answer
    x = 107,784.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.