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Finding the Fourth Proportional to 42,866, 64,299.84 and 11,702.06

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Solution

The fourth proportional to 42,866, 64,299.84 and 11,702.06 is: 17,553.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,866 : 64,299.84 = 11,702.06 : x
  2. Step 2: Convert to fraction form
    42,866/64,299.84 = 11,702.06/x
  3. Step 3: Cross multiply
    42,866x = 64,299.84 × 11,702.06
  4. Step 4: Simplify right side
    42,866x = 752,440,585.67
  5. Step 5: Solve for x
    x = 752,440,585.67/42,866
  6. Step 6: Final answer
    x = 17,553.32

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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.