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Finding the Fourth Proportional to 91,967, 137,950.50 and 26,303

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Solution

The fourth proportional to 91,967, 137,950.50 and 26,303 is: 39,454.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,967 : 137,950.50 = 26,303 : x
  2. Step 2: Convert to fraction form
    91,967/137,950.50 = 26,303/x
  3. Step 3: Cross multiply
    91,967x = 137,950.50 × 26,303
  4. Step 4: Simplify right side
    91,967x = 3,628,512,001.50
  5. Step 5: Solve for x
    x = 3,628,512,001.50/91,967
  6. Step 6: Final answer
    x = 39,454.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.