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Finding the Fourth Proportional to 29,820.81, 44,703.41 and 10,085.63

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Solution

The fourth proportional to 29,820.81, 44,703.41 and 10,085.63 is: 15,119.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,820.81 : 44,703.41 = 10,085.63 : x
  2. Step 2: Convert to fraction form
    29,820.81/44,703.41 = 10,085.63/x
  3. Step 3: Cross multiply
    29,820.81x = 44,703.41 × 10,085.63
  4. Step 4: Simplify right side
    29,820.81x = 450,862,114.33
  5. Step 5: Solve for x
    x = 450,862,114.33/29,820.81
  6. Step 6: Final answer
    x = 15,119.04

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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.