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Finding the Fourth Proportional to 30,709.99, 42,381.93 and 17,282.53

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Solution

The fourth proportional to 30,709.99, 42,381.93 and 17,282.53 is: 23,851.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,709.99 : 42,381.93 = 17,282.53 : x
  2. Step 2: Convert to fraction form
    30,709.99/42,381.93 = 17,282.53/x
  3. Step 3: Cross multiply
    30,709.99x = 42,381.93 × 17,282.53
  4. Step 4: Simplify right side
    30,709.99x = 732,466,976.68
  5. Step 5: Solve for x
    x = 732,466,976.68/30,709.99
  6. Step 6: Final answer
    x = 23,851.10

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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.