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Finding the Fourth Proportional to 77,264.34, 115,906.23 and 27,332.70

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Solution

The fourth proportional to 77,264.34, 115,906.23 and 27,332.70 is: 41,002.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,264.34 : 115,906.23 = 27,332.70 : x
  2. Step 2: Convert to fraction form
    77,264.34/115,906.23 = 27,332.70/x
  3. Step 3: Cross multiply
    77,264.34x = 115,906.23 × 27,332.70
  4. Step 4: Simplify right side
    77,264.34x = 3,168,030,212.72
  5. Step 5: Solve for x
    x = 3,168,030,212.72/77,264.34
  6. Step 6: Final answer
    x = 41,002.49

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