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Finding the Fourth Proportional to 34,128.47, 47,101.10 and 19,022.51

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Solution

The fourth proportional to 34,128.47, 47,101.10 and 19,022.51 is: 26,253.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,128.47 : 47,101.10 = 19,022.51 : x
  2. Step 2: Convert to fraction form
    34,128.47/47,101.10 = 19,022.51/x
  3. Step 3: Cross multiply
    34,128.47x = 47,101.10 × 19,022.51
  4. Step 4: Simplify right side
    34,128.47x = 895,981,145.76
  5. Step 5: Solve for x
    x = 895,981,145.76/34,128.47
  6. Step 6: Final answer
    x = 26,253.19

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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.