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Finding the Fourth Proportional to 29,590, 44,392.70 and 8,813.50

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Solution

The fourth proportional to 29,590, 44,392.70 and 8,813.50 is: 13,222.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,590 : 44,392.70 = 8,813.50 : x
  2. Step 2: Convert to fraction form
    29,590/44,392.70 = 8,813.50/x
  3. Step 3: Cross multiply
    29,590x = 44,392.70 × 8,813.50
  4. Step 4: Simplify right side
    29,590x = 391,255,061.45
  5. Step 5: Solve for x
    x = 391,255,061.45/29,590
  6. Step 6: Final answer
    x = 13,222.54

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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.