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Finding the Fourth Proportional to 77,864.88, 116,834.16 and 46,337.24

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Solution

The fourth proportional to 77,864.88, 116,834.16 and 46,337.24 is: 69,527.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,864.88 : 116,834.16 = 46,337.24 : x
  2. Step 2: Convert to fraction form
    77,864.88/116,834.16 = 46,337.24/x
  3. Step 3: Cross multiply
    77,864.88x = 116,834.16 × 46,337.24
  4. Step 4: Simplify right side
    77,864.88x = 5,413,772,512.12
  5. Step 5: Solve for x
    x = 5,413,772,512.12/77,864.88
  6. Step 6: Final answer
    x = 69,527.78

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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.