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Finding the Fourth Proportional to 48,929.34, 67,522.74 and 27,712.74

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Solution

The fourth proportional to 48,929.34, 67,522.74 and 27,712.74 is: 38,243.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,929.34 : 67,522.74 = 27,712.74 : x
  2. Step 2: Convert to fraction form
    48,929.34/67,522.74 = 27,712.74/x
  3. Step 3: Cross multiply
    48,929.34x = 67,522.74 × 27,712.74
  4. Step 4: Simplify right side
    48,929.34x = 1,871,240,137.71
  5. Step 5: Solve for x
    x = 1,871,240,137.71/48,929.34
  6. Step 6: Final answer
    x = 38,243.72

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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.