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Finding the Fourth Proportional to 32,361, 48,538.26 and 23,613

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Solution

The fourth proportional to 32,361, 48,538.26 and 23,613 is: 35,417.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,361 : 48,538.26 = 23,613 : x
  2. Step 2: Convert to fraction form
    32,361/48,538.26 = 23,613/x
  3. Step 3: Cross multiply
    32,361x = 48,538.26 × 23,613
  4. Step 4: Simplify right side
    32,361x = 1,146,133,933.38
  5. Step 5: Solve for x
    x = 1,146,133,933.38/32,361
  6. Step 6: Final answer
    x = 35,417.14

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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.