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Finding the Fourth Proportional to 83,894.74, 115,774.74 and 46,168.98

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Solution

The fourth proportional to 83,894.74, 115,774.74 and 46,168.98 is: 63,713.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,894.74 : 115,774.74 = 46,168.98 : x
  2. Step 2: Convert to fraction form
    83,894.74/115,774.74 = 46,168.98/x
  3. Step 3: Cross multiply
    83,894.74x = 115,774.74 × 46,168.98
  4. Step 4: Simplify right side
    83,894.74x = 5,345,201,655.57
  5. Step 5: Solve for x
    x = 5,345,201,655.57/83,894.74
  6. Step 6: Final answer
    x = 63,713.19

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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.