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Finding the Fourth Proportional to 48,772.96, 67,313.36 and 28,076

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Solution

The fourth proportional to 48,772.96, 67,313.36 and 28,076 is: 38,748.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,772.96 : 67,313.36 = 28,076 : x
  2. Step 2: Convert to fraction form
    48,772.96/67,313.36 = 28,076/x
  3. Step 3: Cross multiply
    48,772.96x = 67,313.36 × 28,076
  4. Step 4: Simplify right side
    48,772.96x = 1,889,889,895.36
  5. Step 5: Solve for x
    x = 1,889,889,895.36/48,772.96
  6. Step 6: Final answer
    x = 38,748.72

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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.