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Finding the Fourth Proportional to 56,735, 85,141.38 and 19,799

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Solution

The fourth proportional to 56,735, 85,141.38 and 19,799 is: 29,712.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,735 : 85,141.38 = 19,799 : x
  2. Step 2: Convert to fraction form
    56,735/85,141.38 = 19,799/x
  3. Step 3: Cross multiply
    56,735x = 85,141.38 × 19,799
  4. Step 4: Simplify right side
    56,735x = 1,685,714,182.62
  5. Step 5: Solve for x
    x = 1,685,714,182.62/56,735
  6. Step 6: Final answer
    x = 29,712.07

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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.