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Finding the Fourth Proportional to 32,409, 48,613.50 and 10,521

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Solution

The fourth proportional to 32,409, 48,613.50 and 10,521 is: 15,781.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,409 : 48,613.50 = 10,521 : x
  2. Step 2: Convert to fraction form
    32,409/48,613.50 = 10,521/x
  3. Step 3: Cross multiply
    32,409x = 48,613.50 × 10,521
  4. Step 4: Simplify right side
    32,409x = 511,462,633.50
  5. Step 5: Solve for x
    x = 511,462,633.50/32,409
  6. Step 6: Final answer
    x = 15,781.50

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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.