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Finding the Fourth Proportional to 48,772, 67,305.36 and 26,416

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Solution

The fourth proportional to 48,772, 67,305.36 and 26,416 is: 36,454.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,772 : 67,305.36 = 26,416 : x
  2. Step 2: Convert to fraction form
    48,772/67,305.36 = 26,416/x
  3. Step 3: Cross multiply
    48,772x = 67,305.36 × 26,416
  4. Step 4: Simplify right side
    48,772x = 1,777,938,389.76
  5. Step 5: Solve for x
    x = 1,777,938,389.76/48,772
  6. Step 6: Final answer
    x = 36,454.08

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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.