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Finding the Fourth Proportional to 30,949.29, 42,710.49 and 16,802.13

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Solution

The fourth proportional to 30,949.29, 42,710.49 and 16,802.13 is: 23,187.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,949.29 : 42,710.49 = 16,802.13 : x
  2. Step 2: Convert to fraction form
    30,949.29/42,710.49 = 16,802.13/x
  3. Step 3: Cross multiply
    30,949.29x = 42,710.49 × 16,802.13
  4. Step 4: Simplify right side
    30,949.29x = 717,627,365.51
  5. Step 5: Solve for x
    x = 717,627,365.51/30,949.29
  6. Step 6: Final answer
    x = 23,187.20

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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.