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Finding the Fourth Proportional to 65,943, 91,001.34 and 36,135

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Solution

The fourth proportional to 65,943, 91,001.34 and 36,135 is: 49,866.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,943 : 91,001.34 = 36,135 : x
  2. Step 2: Convert to fraction form
    65,943/91,001.34 = 36,135/x
  3. Step 3: Cross multiply
    65,943x = 91,001.34 × 36,135
  4. Step 4: Simplify right side
    65,943x = 3,288,333,420.90
  5. Step 5: Solve for x
    x = 3,288,333,420.90/65,943
  6. Step 6: Final answer
    x = 49,866.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.