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Finding the Fourth Proportional to 30,702.54, 42,369.57 and 18,128.10

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Solution

The fourth proportional to 30,702.54, 42,369.57 and 18,128.10 is: 25,016.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,702.54 : 42,369.57 = 18,128.10 : x
  2. Step 2: Convert to fraction form
    30,702.54/42,369.57 = 18,128.10/x
  3. Step 3: Cross multiply
    30,702.54x = 42,369.57 × 18,128.10
  4. Step 4: Simplify right side
    30,702.54x = 768,079,801.92
  5. Step 5: Solve for x
    x = 768,079,801.92/30,702.54
  6. Step 6: Final answer
    x = 25,016.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.