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Finding the Fourth Proportional to 29,501.87, 44,243.23 and 9,775.13

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Solution

The fourth proportional to 29,501.87, 44,243.23 and 9,775.13 is: 14,659.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,501.87 : 44,243.23 = 9,775.13 : x
  2. Step 2: Convert to fraction form
    29,501.87/44,243.23 = 9,775.13/x
  3. Step 3: Cross multiply
    29,501.87x = 44,243.23 × 9,775.13
  4. Step 4: Simplify right side
    29,501.87x = 432,483,079.22
  5. Step 5: Solve for x
    x = 432,483,079.22/29,501.87
  6. Step 6: Final answer
    x = 14,659.52

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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.