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Finding the Fourth Proportional to 56,657, 84,987.30 and 17,214.46

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Solution

The fourth proportional to 56,657, 84,987.30 and 17,214.46 is: 25,822.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,657 : 84,987.30 = 17,214.46 : x
  2. Step 2: Convert to fraction form
    56,657/84,987.30 = 17,214.46/x
  3. Step 3: Cross multiply
    56,657x = 84,987.30 × 17,214.46
  4. Step 4: Simplify right side
    56,657x = 1,463,010,476.36
  5. Step 5: Solve for x
    x = 1,463,010,476.36/56,657
  6. Step 6: Final answer
    x = 25,822.24

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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.