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Finding the Fourth Proportional to 50,393.75, 69,547.59 and 27,737.01

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Solution

The fourth proportional to 50,393.75, 69,547.59 and 27,737.01 is: 38,279.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,393.75 : 69,547.59 = 27,737.01 : x
  2. Step 2: Convert to fraction form
    50,393.75/69,547.59 = 27,737.01/x
  3. Step 3: Cross multiply
    50,393.75x = 69,547.59 × 27,737.01
  4. Step 4: Simplify right side
    50,393.75x = 1,929,042,199.31
  5. Step 5: Solve for x
    x = 1,929,042,199.31/50,393.75
  6. Step 6: Final answer
    x = 38,279.40

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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.