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Finding the Fourth Proportional to 48,057.84, 72,041.40 and 23,112

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Solution

The fourth proportional to 48,057.84, 72,041.40 and 23,112 is: 34,646.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,057.84 : 72,041.40 = 23,112 : x
  2. Step 2: Convert to fraction form
    48,057.84/72,041.40 = 23,112/x
  3. Step 3: Cross multiply
    48,057.84x = 72,041.40 × 23,112
  4. Step 4: Simplify right side
    48,057.84x = 1,665,020,836.80
  5. Step 5: Solve for x
    x = 1,665,020,836.80/48,057.84
  6. Step 6: Final answer
    x = 34,646.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.