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Finding the Fourth Proportional to 30,781.84, 42,463.72 and 19,294.68

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Solution

The fourth proportional to 30,781.84, 42,463.72 and 19,294.68 is: 26,617.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,781.84 : 42,463.72 = 19,294.68 : x
  2. Step 2: Convert to fraction form
    30,781.84/42,463.72 = 19,294.68/x
  3. Step 3: Cross multiply
    30,781.84x = 42,463.72 × 19,294.68
  4. Step 4: Simplify right side
    30,781.84x = 819,323,889.01
  5. Step 5: Solve for x
    x = 819,323,889.01/30,781.84
  6. Step 6: Final answer
    x = 26,617.12

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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.