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Finding the Fourth Proportional to 30,740.57, 42,423.56 and 18,800.16

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Solution

The fourth proportional to 30,740.57, 42,423.56 and 18,800.16 is: 25,945.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,740.57 : 42,423.56 = 18,800.16 : x
  2. Step 2: Convert to fraction form
    30,740.57/42,423.56 = 18,800.16/x
  3. Step 3: Cross multiply
    30,740.57x = 42,423.56 × 18,800.16
  4. Step 4: Simplify right side
    30,740.57x = 797,569,638.93
  5. Step 5: Solve for x
    x = 797,569,638.93/30,740.57
  6. Step 6: Final answer
    x = 25,945.18

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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.