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Finding the Fourth Proportional to 49,078.40, 73,574.40 and 29,364.80

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Solution

The fourth proportional to 49,078.40, 73,574.40 and 29,364.80 is: 44,021.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,078.40 : 73,574.40 = 29,364.80 : x
  2. Step 2: Convert to fraction form
    49,078.40/73,574.40 = 29,364.80/x
  3. Step 3: Cross multiply
    49,078.40x = 73,574.40 × 29,364.80
  4. Step 4: Simplify right side
    49,078.40x = 2,160,497,541.12
  5. Step 5: Solve for x
    x = 2,160,497,541.12/49,078.40
  6. Step 6: Final answer
    x = 44,021.35

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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.