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Finding the Fourth Proportional to 36,088, 54,132.32 and 14,200

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Solution

The fourth proportional to 36,088, 54,132.32 and 14,200 is: 21,300.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,088 : 54,132.32 = 14,200 : x
  2. Step 2: Convert to fraction form
    36,088/54,132.32 = 14,200/x
  3. Step 3: Cross multiply
    36,088x = 54,132.32 × 14,200
  4. Step 4: Simplify right side
    36,088x = 768,678,944
  5. Step 5: Solve for x
    x = 768,678,944/36,088
  6. Step 6: Final answer
    x = 21,300.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.