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Finding the Fourth Proportional to 50,547.40, 69,756.05 and 27,887.31

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Solution

The fourth proportional to 50,547.40, 69,756.05 and 27,887.31 is: 38,484.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,547.40 : 69,756.05 = 27,887.31 : x
  2. Step 2: Convert to fraction form
    50,547.40/69,756.05 = 27,887.31/x
  3. Step 3: Cross multiply
    50,547.40x = 69,756.05 × 27,887.31
  4. Step 4: Simplify right side
    50,547.40x = 1,945,308,660.44
  5. Step 5: Solve for x
    x = 1,945,308,660.44/50,547.40
  6. Step 6: Final answer
    x = 38,484.84

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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.