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Finding the Fourth Proportional to 34,542.80, 51,814.01 and 29,848.53

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Solution

The fourth proportional to 34,542.80, 51,814.01 and 29,848.53 is: 44,772.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,542.80 : 51,814.01 = 29,848.53 : x
  2. Step 2: Convert to fraction form
    34,542.80/51,814.01 = 29,848.53/x
  3. Step 3: Cross multiply
    34,542.80x = 51,814.01 × 29,848.53
  4. Step 4: Simplify right side
    34,542.80x = 1,546,572,300.83
  5. Step 5: Solve for x
    x = 1,546,572,300.83/34,542.80
  6. Step 6: Final answer
    x = 44,772.64

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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.