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Finding the Fourth Proportional to 31,052.80, 42,862.08 and 19,133.20

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Solution

The fourth proportional to 31,052.80, 42,862.08 and 19,133.20 is: 26,409.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,052.80 : 42,862.08 = 19,133.20 : x
  2. Step 2: Convert to fraction form
    31,052.80/42,862.08 = 19,133.20/x
  3. Step 3: Cross multiply
    31,052.80x = 42,862.08 × 19,133.20
  4. Step 4: Simplify right side
    31,052.80x = 820,088,749.06
  5. Step 5: Solve for x
    x = 820,088,749.06/31,052.80
  6. Step 6: Final answer
    x = 26,409.49

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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.