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Finding the Fourth Proportional to 30,899.13, 42,640.79 and 16,752

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Solution

The fourth proportional to 30,899.13, 42,640.79 and 16,752 is: 23,117.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,899.13 : 42,640.79 = 16,752 : x
  2. Step 2: Convert to fraction form
    30,899.13/42,640.79 = 16,752/x
  3. Step 3: Cross multiply
    30,899.13x = 42,640.79 × 16,752
  4. Step 4: Simplify right side
    30,899.13x = 714,318,514.08
  5. Step 5: Solve for x
    x = 714,318,514.08/30,899.13
  6. Step 6: Final answer
    x = 23,117.75

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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.