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Finding the Fourth Proportional to 29,549.21, 44,324.19 and 9,827.76

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Solution

The fourth proportional to 29,549.21, 44,324.19 and 9,827.76 is: 14,741.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,549.21 : 44,324.19 = 9,827.76 : x
  2. Step 2: Convert to fraction form
    29,549.21/44,324.19 = 9,827.76/x
  3. Step 3: Cross multiply
    29,549.21x = 44,324.19 × 9,827.76
  4. Step 4: Simplify right side
    29,549.21x = 435,607,501.51
  5. Step 5: Solve for x
    x = 435,607,501.51/29,549.21
  6. Step 6: Final answer
    x = 14,741.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.