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Finding the Fourth Proportional to 48,763, 67,292.94 and 26,407

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Solution

The fourth proportional to 48,763, 67,292.94 and 26,407 is: 36,441.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,763 : 67,292.94 = 26,407 : x
  2. Step 2: Convert to fraction form
    48,763/67,292.94 = 26,407/x
  3. Step 3: Cross multiply
    48,763x = 67,292.94 × 26,407
  4. Step 4: Simplify right side
    48,763x = 1,777,004,666.58
  5. Step 5: Solve for x
    x = 1,777,004,666.58/48,763
  6. Step 6: Final answer
    x = 36,441.66

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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.