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Finding the Fourth Proportional to 48,937.10, 67,537.94 and 27,430.50

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Solution

The fourth proportional to 48,937.10, 67,537.94 and 27,430.50 is: 37,856.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,937.10 : 67,537.94 = 27,430.50 : x
  2. Step 2: Convert to fraction form
    48,937.10/67,537.94 = 27,430.50/x
  3. Step 3: Cross multiply
    48,937.10x = 67,537.94 × 27,430.50
  4. Step 4: Simplify right side
    48,937.10x = 1,852,599,199.38
  5. Step 5: Solve for x
    x = 1,852,599,199.38/48,937.10
  6. Step 6: Final answer
    x = 37,856.74

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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.