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Finding the Fourth Proportional to 60,005.21, 82,804 and 34,507.53

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Solution

The fourth proportional to 60,005.21, 82,804 and 34,507.53 is: 47,618.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,005.21 : 82,804 = 34,507.53 : x
  2. Step 2: Convert to fraction form
    60,005.21/82,804 = 34,507.53/x
  3. Step 3: Cross multiply
    60,005.21x = 82,804 × 34,507.53
  4. Step 4: Simplify right side
    60,005.21x = 2,857,361,514.12
  5. Step 5: Solve for x
    x = 2,857,361,514.12/60,005.21
  6. Step 6: Final answer
    x = 47,618.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.