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Finding the Fourth Proportional to 78,224.76, 107,942.16 and 48,011.34

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Solution

The fourth proportional to 78,224.76, 107,942.16 and 48,011.34 is: 66,250.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,224.76 : 107,942.16 = 48,011.34 : x
  2. Step 2: Convert to fraction form
    78,224.76/107,942.16 = 48,011.34/x
  3. Step 3: Cross multiply
    78,224.76x = 107,942.16 × 48,011.34
  4. Step 4: Simplify right side
    78,224.76x = 5,182,447,744.09
  5. Step 5: Solve for x
    x = 5,182,447,744.09/78,224.76
  6. Step 6: Final answer
    x = 66,250.73

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1.5x scale

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.