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Finding the Fourth Proportional to 31,652.42, 47,469.05 and 10,587.05

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Solution

The fourth proportional to 31,652.42, 47,469.05 and 10,587.05 is: 15,877.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,652.42 : 47,469.05 = 10,587.05 : x
  2. Step 2: Convert to fraction form
    31,652.42/47,469.05 = 10,587.05/x
  3. Step 3: Cross multiply
    31,652.42x = 47,469.05 × 10,587.05
  4. Step 4: Simplify right side
    31,652.42x = 502,557,133.23
  5. Step 5: Solve for x
    x = 502,557,133.23/31,652.42
  6. Step 6: Final answer
    x = 15,877.37

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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.