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Finding the Fourth Proportional to 29,825.38, 44,742.93 and 9,828.91

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Solution

The fourth proportional to 29,825.38, 44,742.93 and 9,828.91 is: 14,744.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,825.38 : 44,742.93 = 9,828.91 : x
  2. Step 2: Convert to fraction form
    29,825.38/44,742.93 = 9,828.91/x
  3. Step 3: Cross multiply
    29,825.38x = 44,742.93 × 9,828.91
  4. Step 4: Simplify right side
    29,825.38x = 439,774,232.11
  5. Step 5: Solve for x
    x = 439,774,232.11/29,825.38
  6. Step 6: Final answer
    x = 14,744.97

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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.