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Finding the Fourth Proportional to 30,703.71, 42,368.10 and 17,274.68

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Solution

The fourth proportional to 30,703.71, 42,368.10 and 17,274.68 is: 23,837.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,703.71 : 42,368.10 = 17,274.68 : x
  2. Step 2: Convert to fraction form
    30,703.71/42,368.10 = 17,274.68/x
  3. Step 3: Cross multiply
    30,703.71x = 42,368.10 × 17,274.68
  4. Step 4: Simplify right side
    30,703.71x = 731,895,369.71
  5. Step 5: Solve for x
    x = 731,895,369.71/30,703.71
  6. Step 6: Final answer
    x = 23,837.36

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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.