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Finding the Fourth Proportional to 50,887.38, 70,259.22 and 31,774.62

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Solution

The fourth proportional to 50,887.38, 70,259.22 and 31,774.62 is: 43,870.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,887.38 : 70,259.22 = 31,774.62 : x
  2. Step 2: Convert to fraction form
    50,887.38/70,259.22 = 31,774.62/x
  3. Step 3: Cross multiply
    50,887.38x = 70,259.22 × 31,774.62
  4. Step 4: Simplify right side
    50,887.38x = 2,232,460,017.00
  5. Step 5: Solve for x
    x = 2,232,460,017.00/50,887.38
  6. Step 6: Final answer
    x = 43,870.60

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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.