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Finding the Fourth Proportional to 57,741.40, 86,612.10 and 28,178.20

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Solution

The fourth proportional to 57,741.40, 86,612.10 and 28,178.20 is: 42,267.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,741.40 : 86,612.10 = 28,178.20 : x
  2. Step 2: Convert to fraction form
    57,741.40/86,612.10 = 28,178.20/x
  3. Step 3: Cross multiply
    57,741.40x = 86,612.10 × 28,178.20
  4. Step 4: Simplify right side
    57,741.40x = 2,440,573,076.22
  5. Step 5: Solve for x
    x = 2,440,573,076.22/57,741.40
  6. Step 6: Final answer
    x = 42,267.30

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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.