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Finding the Fourth Proportional to 29,897.89, 41,259.71 and 16,469.71

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Solution

The fourth proportional to 29,897.89, 41,259.71 and 16,469.71 is: 22,728.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,897.89 : 41,259.71 = 16,469.71 : x
  2. Step 2: Convert to fraction form
    29,897.89/41,259.71 = 16,469.71/x
  3. Step 3: Cross multiply
    29,897.89x = 41,259.71 × 16,469.71
  4. Step 4: Simplify right side
    29,897.89x = 679,535,458.38
  5. Step 5: Solve for x
    x = 679,535,458.38/29,897.89
  6. Step 6: Final answer
    x = 22,728.54

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1.5x scale

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.