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Finding the Fourth Proportional to 85,161.84, 127,742.76 and 32,587.44

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Solution

The fourth proportional to 85,161.84, 127,742.76 and 32,587.44 is: 48,881.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,161.84 : 127,742.76 = 32,587.44 : x
  2. Step 2: Convert to fraction form
    85,161.84/127,742.76 = 32,587.44/x
  3. Step 3: Cross multiply
    85,161.84x = 127,742.76 × 32,587.44
  4. Step 4: Simplify right side
    85,161.84x = 4,162,809,526.93
  5. Step 5: Solve for x
    x = 4,162,809,526.93/85,161.84
  6. Step 6: Final answer
    x = 48,881.16

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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.