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Finding the Fourth Proportional to 74,291.94, 111,465.65 and 29,931.28

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Solution

The fourth proportional to 74,291.94, 111,465.65 and 29,931.28 is: 44,908.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,291.94 : 111,465.65 = 29,931.28 : x
  2. Step 2: Convert to fraction form
    74,291.94/111,465.65 = 29,931.28/x
  3. Step 3: Cross multiply
    74,291.94x = 111,465.65 × 29,931.28
  4. Step 4: Simplify right side
    74,291.94x = 3,336,309,376.70
  5. Step 5: Solve for x
    x = 3,336,309,376.70/74,291.94
  6. Step 6: Final answer
    x = 44,908.09

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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.