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Finding the Fourth Proportional to 26,742.89, 40,101.34 and 13,410.16

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Solution

The fourth proportional to 26,742.89, 40,101.34 and 13,410.16 is: 20,108.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,742.89 : 40,101.34 = 13,410.16 : x
  2. Step 2: Convert to fraction form
    26,742.89/40,101.34 = 13,410.16/x
  3. Step 3: Cross multiply
    26,742.89x = 40,101.34 × 13,410.16
  4. Step 4: Simplify right side
    26,742.89x = 537,765,385.61
  5. Step 5: Solve for x
    x = 537,765,385.61/26,742.89
  6. Step 6: Final answer
    x = 20,108.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.