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Finding the Fourth Proportional to 30,569.88, 42,203.76 and 23,386.26

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Solution

The fourth proportional to 30,569.88, 42,203.76 and 23,386.26 is: 32,286.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,569.88 : 42,203.76 = 23,386.26 : x
  2. Step 2: Convert to fraction form
    30,569.88/42,203.76 = 23,386.26/x
  3. Step 3: Cross multiply
    30,569.88x = 42,203.76 × 23,386.26
  4. Step 4: Simplify right side
    30,569.88x = 986,988,104.34
  5. Step 5: Solve for x
    x = 986,988,104.34/30,569.88
  6. Step 6: Final answer
    x = 32,286.29

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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.