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Finding the Fourth Proportional to 29,827.40, 44,740.07 and 7,641.00

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Solution

The fourth proportional to 29,827.40, 44,740.07 and 7,641.00 is: 11,461.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,827.40 : 44,740.07 = 7,641.00 : x
  2. Step 2: Convert to fraction form
    29,827.40/44,740.07 = 7,641.00/x
  3. Step 3: Cross multiply
    29,827.40x = 44,740.07 × 7,641.00
  4. Step 4: Simplify right side
    29,827.40x = 341,858,651.17
  5. Step 5: Solve for x
    x = 341,858,651.17/29,827.40
  6. Step 6: Final answer
    x = 11,461.23

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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.