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Finding the Fourth Proportional to 34,126.34, 47,097.07 and 19,023.86

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Solution

The fourth proportional to 34,126.34, 47,097.07 and 19,023.86 is: 26,254.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,126.34 : 47,097.07 = 19,023.86 : x
  2. Step 2: Convert to fraction form
    34,126.34/47,097.07 = 19,023.86/x
  3. Step 3: Cross multiply
    34,126.34x = 47,097.07 × 19,023.86
  4. Step 4: Simplify right side
    34,126.34x = 895,968,066.09
  5. Step 5: Solve for x
    x = 895,968,066.09/34,126.34
  6. Step 6: Final answer
    x = 26,254.44

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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.