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Finding the Fourth Proportional to 73,766.40, 110,574 and 29,333.04

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Solution

The fourth proportional to 73,766.40, 110,574 and 29,333.04 is: 43,969.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,766.40 : 110,574 = 29,333.04 : x
  2. Step 2: Convert to fraction form
    73,766.40/110,574 = 29,333.04/x
  3. Step 3: Cross multiply
    73,766.40x = 110,574 × 29,333.04
  4. Step 4: Simplify right side
    73,766.40x = 3,243,471,564.96
  5. Step 5: Solve for x
    x = 3,243,471,564.96/73,766.40
  6. Step 6: Final answer
    x = 43,969.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.