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Finding the Fourth Proportional to 31,048.80, 42,849.36 and 18,471.84

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Solution

The fourth proportional to 31,048.80, 42,849.36 and 18,471.84 is: 25,492.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,048.80 : 42,849.36 = 18,471.84 : x
  2. Step 2: Convert to fraction form
    31,048.80/42,849.36 = 18,471.84/x
  3. Step 3: Cross multiply
    31,048.80x = 42,849.36 × 18,471.84
  4. Step 4: Simplify right side
    31,048.80x = 791,506,522.02
  5. Step 5: Solve for x
    x = 791,506,522.02/31,048.80
  6. Step 6: Final answer
    x = 25,492.34

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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.