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Finding the Fourth Proportional to 47,703.25, 71,587.68 and 16,538.50

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Solution

The fourth proportional to 47,703.25, 71,587.68 and 16,538.50 is: 24,819.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,703.25 : 71,587.68 = 16,538.50 : x
  2. Step 2: Convert to fraction form
    47,703.25/71,587.68 = 16,538.50/x
  3. Step 3: Cross multiply
    47,703.25x = 71,587.68 × 16,538.50
  4. Step 4: Simplify right side
    47,703.25x = 1,183,953,167.51
  5. Step 5: Solve for x
    x = 1,183,953,167.51/47,703.25
  6. Step 6: Final answer
    x = 24,819.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.