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Finding the Fourth Proportional to 35,315, 52,972.38 and 22,176.60

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Solution

The fourth proportional to 35,315, 52,972.38 and 22,176.60 is: 33,264.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,315 : 52,972.38 = 22,176.60 : x
  2. Step 2: Convert to fraction form
    35,315/52,972.38 = 22,176.60/x
  3. Step 3: Cross multiply
    35,315x = 52,972.38 × 22,176.60
  4. Step 4: Simplify right side
    35,315x = 1,174,747,282.31
  5. Step 5: Solve for x
    x = 1,174,747,282.31/35,315
  6. Step 6: Final answer
    x = 33,264.82

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