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Finding the Fourth Proportional to 34,130.25, 47,098.23 and 19,024.56

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Solution

The fourth proportional to 34,130.25, 47,098.23 and 19,024.56 is: 26,253.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,130.25 : 47,098.23 = 19,024.56 : x
  2. Step 2: Convert to fraction form
    34,130.25/47,098.23 = 19,024.56/x
  3. Step 3: Cross multiply
    34,130.25x = 47,098.23 × 19,024.56
  4. Step 4: Simplify right side
    34,130.25x = 896,023,102.53
  5. Step 5: Solve for x
    x = 896,023,102.53/34,130.25
  6. Step 6: Final answer
    x = 26,253.05

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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.