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Finding the Fourth Proportional to 41,043, 61,564.50 and 9,878.25

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Solution

The fourth proportional to 41,043, 61,564.50 and 9,878.25 is: 14,817.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,043 : 61,564.50 = 9,878.25 : x
  2. Step 2: Convert to fraction form
    41,043/61,564.50 = 9,878.25/x
  3. Step 3: Cross multiply
    41,043x = 61,564.50 × 9,878.25
  4. Step 4: Simplify right side
    41,043x = 608,149,522.13
  5. Step 5: Solve for x
    x = 608,149,522.13/41,043
  6. Step 6: Final answer
    x = 14,817.38

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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.