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Finding the Fourth Proportional to 34,214.60, 47,215.68 and 19,107.53

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Solution

The fourth proportional to 34,214.60, 47,215.68 and 19,107.53 is: 26,368.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,214.60 : 47,215.68 = 19,107.53 : x
  2. Step 2: Convert to fraction form
    34,214.60/47,215.68 = 19,107.53/x
  3. Step 3: Cross multiply
    34,214.60x = 47,215.68 × 19,107.53
  4. Step 4: Simplify right side
    34,214.60x = 902,175,022.07
  5. Step 5: Solve for x
    x = 902,175,022.07/34,214.60
  6. Step 6: Final answer
    x = 26,368.13

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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.