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Finding the Fourth Proportional to 29,088, 43,632 and 9,368.55

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Solution

The fourth proportional to 29,088, 43,632 and 9,368.55 is: 14,052.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,088 : 43,632 = 9,368.55 : x
  2. Step 2: Convert to fraction form
    29,088/43,632 = 9,368.55/x
  3. Step 3: Cross multiply
    29,088x = 43,632 × 9,368.55
  4. Step 4: Simplify right side
    29,088x = 408,768,573.60
  5. Step 5: Solve for x
    x = 408,768,573.60/29,088
  6. Step 6: Final answer
    x = 14,052.83

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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.