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Finding the Fourth Proportional to 29,828.32, 44,741.43 and 7,641.90

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Solution

The fourth proportional to 29,828.32, 44,741.43 and 7,641.90 is: 11,462.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,828.32 : 44,741.43 = 7,641.90 : x
  2. Step 2: Convert to fraction form
    29,828.32/44,741.43 = 7,641.90/x
  3. Step 3: Cross multiply
    29,828.32x = 44,741.43 × 7,641.90
  4. Step 4: Simplify right side
    29,828.32x = 341,909,533.92
  5. Step 5: Solve for x
    x = 341,909,533.92/29,828.32
  6. Step 6: Final answer
    x = 11,462.58

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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.