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Finding the Fourth Proportional to 77,313.96, 115,963.64 and 24,709.32

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Solution

The fourth proportional to 77,313.96, 115,963.64 and 24,709.32 is: 37,061.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,313.96 : 115,963.64 = 24,709.32 : x
  2. Step 2: Convert to fraction form
    77,313.96/115,963.64 = 24,709.32/x
  3. Step 3: Cross multiply
    77,313.96x = 115,963.64 × 24,709.32
  4. Step 4: Simplify right side
    77,313.96x = 2,865,382,689.12
  5. Step 5: Solve for x
    x = 2,865,382,689.12/77,313.96
  6. Step 6: Final answer
    x = 37,061.65

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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.