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Finding the Fourth Proportional to 79,830.88, 119,681.38 and 29,883

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Solution

The fourth proportional to 79,830.88, 119,681.38 and 29,883 is: 44,800.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,830.88 : 119,681.38 = 29,883 : x
  2. Step 2: Convert to fraction form
    79,830.88/119,681.38 = 29,883/x
  3. Step 3: Cross multiply
    79,830.88x = 119,681.38 × 29,883
  4. Step 4: Simplify right side
    79,830.88x = 3,576,438,678.54
  5. Step 5: Solve for x
    x = 3,576,438,678.54/79,830.88
  6. Step 6: Final answer
    x = 44,800.19

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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.