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Finding the Fourth Proportional to 57,196.96, 78,905.10 and 35,987.92

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Solution

The fourth proportional to 57,196.96, 78,905.10 and 35,987.92 is: 49,646.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,196.96 : 78,905.10 = 35,987.92 : x
  2. Step 2: Convert to fraction form
    57,196.96/78,905.10 = 35,987.92/x
  3. Step 3: Cross multiply
    57,196.96x = 78,905.10 × 35,987.92
  4. Step 4: Simplify right side
    57,196.96x = 2,839,630,364.08
  5. Step 5: Solve for x
    x = 2,839,630,364.08/57,196.96
  6. Step 6: Final answer
    x = 49,646.53

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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.