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Finding the Fourth Proportional to 30,071.25, 41,498.93 and 16,642.16

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Solution

The fourth proportional to 30,071.25, 41,498.93 and 16,642.16 is: 22,966.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,071.25 : 41,498.93 = 16,642.16 : x
  2. Step 2: Convert to fraction form
    30,071.25/41,498.93 = 16,642.16/x
  3. Step 3: Cross multiply
    30,071.25x = 41,498.93 × 16,642.16
  4. Step 4: Simplify right side
    30,071.25x = 690,631,542.18
  5. Step 5: Solve for x
    x = 690,631,542.18/30,071.25
  6. Step 6: Final answer
    x = 22,966.51

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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.