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Finding the Fourth Proportional to 48,634, 67,113.20 and 27,412

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Solution

The fourth proportional to 48,634, 67,113.20 and 27,412 is: 37,827.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,634 : 67,113.20 = 27,412 : x
  2. Step 2: Convert to fraction form
    48,634/67,113.20 = 27,412/x
  3. Step 3: Cross multiply
    48,634x = 67,113.20 × 27,412
  4. Step 4: Simplify right side
    48,634x = 1,839,707,038.40
  5. Step 5: Solve for x
    x = 1,839,707,038.40/48,634
  6. Step 6: Final answer
    x = 37,827.59

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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.