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Finding the Fourth Proportional to 78,640.74, 108,523.67 and 42,830.64

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Solution

The fourth proportional to 78,640.74, 108,523.67 and 42,830.64 is: 59,105.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,640.74 : 108,523.67 = 42,830.64 : x
  2. Step 2: Convert to fraction form
    78,640.74/108,523.67 = 42,830.64/x
  3. Step 3: Cross multiply
    78,640.74x = 108,523.67 × 42,830.64
  4. Step 4: Simplify right side
    78,640.74x = 4,648,138,027.10
  5. Step 5: Solve for x
    x = 4,648,138,027.10/78,640.74
  6. Step 6: Final answer
    x = 59,105.98

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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.