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Finding the Fourth Proportional to 29,454, 44,213.64 and 14,658.92

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Solution

The fourth proportional to 29,454, 44,213.64 and 14,658.92 is: 22,004.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,454 : 44,213.64 = 14,658.92 : x
  2. Step 2: Convert to fraction form
    29,454/44,213.64 = 14,658.92/x
  3. Step 3: Cross multiply
    29,454x = 44,213.64 × 14,658.92
  4. Step 4: Simplify right side
    29,454x = 648,124,211.67
  5. Step 5: Solve for x
    x = 648,124,211.67/29,454
  6. Step 6: Final answer
    x = 22,004.62

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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.