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Finding the Fourth Proportional to 34,131.96, 47,100.14 and 19,024.12

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Solution

The fourth proportional to 34,131.96, 47,100.14 and 19,024.12 is: 26,252.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,131.96 : 47,100.14 = 19,024.12 : x
  2. Step 2: Convert to fraction form
    34,131.96/47,100.14 = 19,024.12/x
  3. Step 3: Cross multiply
    34,131.96x = 47,100.14 × 19,024.12
  4. Step 4: Simplify right side
    34,131.96x = 896,038,715.38
  5. Step 5: Solve for x
    x = 896,038,715.38/34,131.96
  6. Step 6: Final answer
    x = 26,252.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.