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Finding the Fourth Proportional to 29,549.18, 44,322.96 and 9,828.11

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Solution

The fourth proportional to 29,549.18, 44,322.96 and 9,828.11 is: 14,741.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,549.18 : 44,322.96 = 9,828.11 : x
  2. Step 2: Convert to fraction form
    29,549.18/44,322.96 = 9,828.11/x
  3. Step 3: Cross multiply
    29,549.18x = 44,322.96 × 9,828.11
  4. Step 4: Simplify right side
    29,549.18x = 435,610,926.41
  5. Step 5: Solve for x
    x = 435,610,926.41/29,549.18
  6. Step 6: Final answer
    x = 14,741.90

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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.