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Finding the Fourth Proportional to 61,214.40, 91,834.56 and 19,656

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Solution

The fourth proportional to 61,214.40, 91,834.56 and 19,656 is: 29,488.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,214.40 : 91,834.56 = 19,656 : x
  2. Step 2: Convert to fraction form
    61,214.40/91,834.56 = 19,656/x
  3. Step 3: Cross multiply
    61,214.40x = 91,834.56 × 19,656
  4. Step 4: Simplify right side
    61,214.40x = 1,805,100,111.36
  5. Step 5: Solve for x
    x = 1,805,100,111.36/61,214.40
  6. Step 6: Final answer
    x = 29,488.16

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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.