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Finding the Fourth Proportional to 49,700.32, 68,572.80 and 34,576

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Solution

The fourth proportional to 49,700.32, 68,572.80 and 34,576 is: 47,705.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,700.32 : 68,572.80 = 34,576 : x
  2. Step 2: Convert to fraction form
    49,700.32/68,572.80 = 34,576/x
  3. Step 3: Cross multiply
    49,700.32x = 68,572.80 × 34,576
  4. Step 4: Simplify right side
    49,700.32x = 2,370,973,132.80
  5. Step 5: Solve for x
    x = 2,370,973,132.80/49,700.32
  6. Step 6: Final answer
    x = 47,705.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.