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Finding the Fourth Proportional to 29,913.76, 44,859.47 and 9,919.59

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Solution

The fourth proportional to 29,913.76, 44,859.47 and 9,919.59 is: 14,875.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,913.76 : 44,859.47 = 9,919.59 : x
  2. Step 2: Convert to fraction form
    29,913.76/44,859.47 = 9,919.59/x
  3. Step 3: Cross multiply
    29,913.76x = 44,859.47 × 9,919.59
  4. Step 4: Simplify right side
    29,913.76x = 444,987,550.02
  5. Step 5: Solve for x
    x = 444,987,550.02/29,913.76
  6. Step 6: Final answer
    x = 14,875.68

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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.