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Finding the Fourth Proportional to 29,970.61, 44,924.29 and 9,974.72

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Solution

The fourth proportional to 29,970.61, 44,924.29 and 9,974.72 is: 14,951.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,970.61 : 44,924.29 = 9,974.72 : x
  2. Step 2: Convert to fraction form
    29,970.61/44,924.29 = 9,974.72/x
  3. Step 3: Cross multiply
    29,970.61x = 44,924.29 × 9,974.72
  4. Step 4: Simplify right side
    29,970.61x = 448,107,213.95
  5. Step 5: Solve for x
    x = 448,107,213.95/29,970.61
  6. Step 6: Final answer
    x = 14,951.55

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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.