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Finding the Fourth Proportional to 78,126.50, 107,816.66 and 47,894.40

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Solution

The fourth proportional to 78,126.50, 107,816.66 and 47,894.40 is: 66,095.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,126.50 : 107,816.66 = 47,894.40 : x
  2. Step 2: Convert to fraction form
    78,126.50/107,816.66 = 47,894.40/x
  3. Step 3: Cross multiply
    78,126.50x = 107,816.66 × 47,894.40
  4. Step 4: Simplify right side
    78,126.50x = 5,163,814,240.70
  5. Step 5: Solve for x
    x = 5,163,814,240.70/78,126.50
  6. Step 6: Final answer
    x = 66,095.55

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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.