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Finding the Fourth Proportional to 29,548.68, 44,322.21 and 9,827.61

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Solution

The fourth proportional to 29,548.68, 44,322.21 and 9,827.61 is: 14,741.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,548.68 : 44,322.21 = 9,827.61 : x
  2. Step 2: Convert to fraction form
    29,548.68/44,322.21 = 9,827.61/x
  3. Step 3: Cross multiply
    29,548.68x = 44,322.21 × 9,827.61
  4. Step 4: Simplify right side
    29,548.68x = 435,581,394.22
  5. Step 5: Solve for x
    x = 435,581,394.22/29,548.68
  6. Step 6: Final answer
    x = 14,741.15

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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.