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Finding the Fourth Proportional to 29,199.47, 43,798.60 and 9,478

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Solution

The fourth proportional to 29,199.47, 43,798.60 and 9,478 is: 14,216.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,199.47 : 43,798.60 = 9,478 : x
  2. Step 2: Convert to fraction form
    29,199.47/43,798.60 = 9,478/x
  3. Step 3: Cross multiply
    29,199.47x = 43,798.60 × 9,478
  4. Step 4: Simplify right side
    29,199.47x = 415,123,130.80
  5. Step 5: Solve for x
    x = 415,123,130.80/29,199.47
  6. Step 6: Final answer
    x = 14,216.80

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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.