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Finding the Fourth Proportional to 50,077.70, 69,108.04 and 27,416.31

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Solution

The fourth proportional to 50,077.70, 69,108.04 and 27,416.31 is: 37,834.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,077.70 : 69,108.04 = 27,416.31 : x
  2. Step 2: Convert to fraction form
    50,077.70/69,108.04 = 27,416.31/x
  3. Step 3: Cross multiply
    50,077.70x = 69,108.04 × 27,416.31
  4. Step 4: Simplify right side
    50,077.70x = 1,894,686,965.51
  5. Step 5: Solve for x
    x = 1,894,686,965.51/50,077.70
  6. Step 6: Final answer
    x = 37,834.95

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1.5x scale

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.