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Finding the Fourth Proportional to 30,737.81, 42,417.75 and 17,309.22

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Solution

The fourth proportional to 30,737.81, 42,417.75 and 17,309.22 is: 23,886.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,737.81 : 42,417.75 = 17,309.22 : x
  2. Step 2: Convert to fraction form
    30,737.81/42,417.75 = 17,309.22/x
  3. Step 3: Cross multiply
    30,737.81x = 42,417.75 × 17,309.22
  4. Step 4: Simplify right side
    30,737.81x = 734,218,166.66
  5. Step 5: Solve for x
    x = 734,218,166.66/30,737.81
  6. Step 6: Final answer
    x = 23,886.49

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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.