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Finding the Fourth Proportional to 78,009.44, 107,652.88 and 42,199.48

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Solution

The fourth proportional to 78,009.44, 107,652.88 and 42,199.48 is: 58,235.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,009.44 : 107,652.88 = 42,199.48 : x
  2. Step 2: Convert to fraction form
    78,009.44/107,652.88 = 42,199.48/x
  3. Step 3: Cross multiply
    78,009.44x = 107,652.88 × 42,199.48
  4. Step 4: Simplify right side
    78,009.44x = 4,542,895,556.50
  5. Step 5: Solve for x
    x = 4,542,895,556.50/78,009.44
  6. Step 6: Final answer
    x = 58,235.20

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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.