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Finding the Fourth Proportional to 50,488.32, 69,674.36 and 27,827.35

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Solution

The fourth proportional to 50,488.32, 69,674.36 and 27,827.35 is: 38,402.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,488.32 : 69,674.36 = 27,827.35 : x
  2. Step 2: Convert to fraction form
    50,488.32/69,674.36 = 27,827.35/x
  3. Step 3: Cross multiply
    50,488.32x = 69,674.36 × 27,827.35
  4. Step 4: Simplify right side
    50,488.32x = 1,938,852,801.75
  5. Step 5: Solve for x
    x = 1,938,852,801.75/50,488.32
  6. Step 6: Final answer
    x = 38,402.01

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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.