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Finding the Fourth Proportional to 32,123.40, 48,157.38 and 15,460.50

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Solution

The fourth proportional to 32,123.40, 48,157.38 and 15,460.50 is: 23,177.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,123.40 : 48,157.38 = 15,460.50 : x
  2. Step 2: Convert to fraction form
    32,123.40/48,157.38 = 15,460.50/x
  3. Step 3: Cross multiply
    32,123.40x = 48,157.38 × 15,460.50
  4. Step 4: Simplify right side
    32,123.40x = 744,537,354.08
  5. Step 5: Solve for x
    x = 744,537,354.08/32,123.40
  6. Step 6: Final answer
    x = 23,177.42

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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.