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Finding the Fourth Proportional to 29,924.61, 44,888.45 and 7,738.17

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Solution

The fourth proportional to 29,924.61, 44,888.45 and 7,738.17 is: 11,607.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,924.61 : 44,888.45 = 7,738.17 : x
  2. Step 2: Convert to fraction form
    29,924.61/44,888.45 = 7,738.17/x
  3. Step 3: Cross multiply
    29,924.61x = 44,888.45 × 7,738.17
  4. Step 4: Simplify right side
    29,924.61x = 347,354,418.45
  5. Step 5: Solve for x
    x = 347,354,418.45/29,924.61
  6. Step 6: Final answer
    x = 11,607.65

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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.