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Finding the Fourth Proportional to 78,023.70, 107,672.72 and 42,213.70

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Solution

The fourth proportional to 78,023.70, 107,672.72 and 42,213.70 is: 58,254.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,023.70 : 107,672.72 = 42,213.70 : x
  2. Step 2: Convert to fraction form
    78,023.70/107,672.72 = 42,213.70/x
  3. Step 3: Cross multiply
    78,023.70x = 107,672.72 × 42,213.70
  4. Step 4: Simplify right side
    78,023.70x = 4,545,263,900.26
  5. Step 5: Solve for x
    x = 4,545,263,900.26/78,023.70
  6. Step 6: Final answer
    x = 58,254.91

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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.