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Finding the Fourth Proportional to 38,088, 57,132 and 16,200

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Solution

The fourth proportional to 38,088, 57,132 and 16,200 is: 24,300

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,088 : 57,132 = 16,200 : x
  2. Step 2: Convert to fraction form
    38,088/57,132 = 16,200/x
  3. Step 3: Cross multiply
    38,088x = 57,132 × 16,200
  4. Step 4: Simplify right side
    38,088x = 925,538,400
  5. Step 5: Solve for x
    x = 925,538,400/38,088
  6. Step 6: Final answer
    x = 24,300

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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.