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Finding the Fourth Proportional to 32,895, 45,395.28 and 17,991

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Solution

The fourth proportional to 32,895, 45,395.28 and 17,991 is: 24,827.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,895 : 45,395.28 = 17,991 : x
  2. Step 2: Convert to fraction form
    32,895/45,395.28 = 17,991/x
  3. Step 3: Cross multiply
    32,895x = 45,395.28 × 17,991
  4. Step 4: Simplify right side
    32,895x = 816,706,482.48
  5. Step 5: Solve for x
    x = 816,706,482.48/32,895
  6. Step 6: Final answer
    x = 24,827.68

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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.