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Finding the Fourth Proportional to 30,901.71, 42,645.92 and 17,291.28

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Solution

The fourth proportional to 30,901.71, 42,645.92 and 17,291.28 is: 23,862.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,901.71 : 42,645.92 = 17,291.28 : x
  2. Step 2: Convert to fraction form
    30,901.71/42,645.92 = 17,291.28/x
  3. Step 3: Cross multiply
    30,901.71x = 42,645.92 × 17,291.28
  4. Step 4: Simplify right side
    30,901.71x = 737,402,586.81
  5. Step 5: Solve for x
    x = 737,402,586.81/30,901.71
  6. Step 6: Final answer
    x = 23,862.84

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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.