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Finding the Fourth Proportional to 29,547.10, 44,324.70 and 9,823.60

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Solution

The fourth proportional to 29,547.10, 44,324.70 and 9,823.60 is: 14,736.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,547.10 : 44,324.70 = 9,823.60 : x
  2. Step 2: Convert to fraction form
    29,547.10/44,324.70 = 9,823.60/x
  3. Step 3: Cross multiply
    29,547.10x = 44,324.70 × 9,823.60
  4. Step 4: Simplify right side
    29,547.10x = 435,428,122.92
  5. Step 5: Solve for x
    x = 435,428,122.92/29,547.10
  6. Step 6: Final answer
    x = 14,736.75

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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.