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Finding the Fourth Proportional to 48,281.84, 66,602 and 30,370.24

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Solution

The fourth proportional to 48,281.84, 66,602 and 30,370.24 is: 41,893.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,281.84 : 66,602 = 30,370.24 : x
  2. Step 2: Convert to fraction form
    48,281.84/66,602 = 30,370.24/x
  3. Step 3: Cross multiply
    48,281.84x = 66,602 × 30,370.24
  4. Step 4: Simplify right side
    48,281.84x = 2,022,718,724.48
  5. Step 5: Solve for x
    x = 2,022,718,724.48/48,281.84
  6. Step 6: Final answer
    x = 41,893.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.