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Finding the Fourth Proportional to 83,774.64, 115,614.74 and 46,048.88

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Solution

The fourth proportional to 83,774.64, 115,614.74 and 46,048.88 is: 63,550.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,774.64 : 115,614.74 = 46,048.88 : x
  2. Step 2: Convert to fraction form
    83,774.64/115,614.74 = 46,048.88/x
  3. Step 3: Cross multiply
    83,774.64x = 115,614.74 × 46,048.88
  4. Step 4: Simplify right side
    83,774.64x = 5,323,929,288.49
  5. Step 5: Solve for x
    x = 5,323,929,288.49/83,774.64
  6. Step 6: Final answer
    x = 63,550.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.