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Finding the Fourth Proportional to 29,768.36, 44,652.66 and 10,047

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Solution

The fourth proportional to 29,768.36, 44,652.66 and 10,047 is: 15,070.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,768.36 : 44,652.66 = 10,047 : x
  2. Step 2: Convert to fraction form
    29,768.36/44,652.66 = 10,047/x
  3. Step 3: Cross multiply
    29,768.36x = 44,652.66 × 10,047
  4. Step 4: Simplify right side
    29,768.36x = 448,625,275.02
  5. Step 5: Solve for x
    x = 448,625,275.02/29,768.36
  6. Step 6: Final answer
    x = 15,070.54

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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.