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Finding the Fourth Proportional to 37,454, 56,224.20 and 19,024.88

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Solution

The fourth proportional to 37,454, 56,224.20 and 19,024.88 is: 28,559.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,454 : 56,224.20 = 19,024.88 : x
  2. Step 2: Convert to fraction form
    37,454/56,224.20 = 19,024.88/x
  3. Step 3: Cross multiply
    37,454x = 56,224.20 × 19,024.88
  4. Step 4: Simplify right side
    37,454x = 1,069,658,658.10
  5. Step 5: Solve for x
    x = 1,069,658,658.10/37,454
  6. Step 6: Final answer
    x = 28,559.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.