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Finding the Fourth Proportional to 32,609.85, 48,908.36 and 10,417.25

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Solution

The fourth proportional to 32,609.85, 48,908.36 and 10,417.25 is: 15,623.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,609.85 : 48,908.36 = 10,417.25 : x
  2. Step 2: Convert to fraction form
    32,609.85/48,908.36 = 10,417.25/x
  3. Step 3: Cross multiply
    32,609.85x = 48,908.36 × 10,417.25
  4. Step 4: Simplify right side
    32,609.85x = 509,490,613.21
  5. Step 5: Solve for x
    x = 509,490,613.21/32,609.85
  6. Step 6: Final answer
    x = 15,623.83

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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.