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Finding the Fourth Proportional to 57,278.46, 85,897.08 and 19,828.35

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Solution

The fourth proportional to 57,278.46, 85,897.08 and 19,828.35 is: 29,735.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,278.46 : 85,897.08 = 19,828.35 : x
  2. Step 2: Convert to fraction form
    57,278.46/85,897.08 = 19,828.35/x
  3. Step 3: Cross multiply
    57,278.46x = 85,897.08 × 19,828.35
  4. Step 4: Simplify right side
    57,278.46x = 1,703,197,366.22
  5. Step 5: Solve for x
    x = 1,703,197,366.22/57,278.46
  6. Step 6: Final answer
    x = 29,735.39

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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.