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Finding the Fourth Proportional to 32,123.78, 48,157.94 and 15,460.88

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Solution

The fourth proportional to 32,123.78, 48,157.94 and 15,460.88 is: 23,177.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,123.78 : 48,157.94 = 15,460.88 : x
  2. Step 2: Convert to fraction form
    32,123.78/48,157.94 = 15,460.88/x
  3. Step 3: Cross multiply
    32,123.78x = 48,157.94 × 15,460.88
  4. Step 4: Simplify right side
    32,123.78x = 744,563,813.29
  5. Step 5: Solve for x
    x = 744,563,813.29/32,123.78
  6. Step 6: Final answer
    x = 23,177.97

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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.