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Finding the Fourth Proportional to 35,297.31, 52,952.45 and 14,237.31

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Solution

The fourth proportional to 35,297.31, 52,952.45 and 14,237.31 is: 21,358.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,297.31 : 52,952.45 = 14,237.31 : x
  2. Step 2: Convert to fraction form
    35,297.31/52,952.45 = 14,237.31/x
  3. Step 3: Cross multiply
    35,297.31x = 52,952.45 × 14,237.31
  4. Step 4: Simplify right side
    35,297.31x = 753,900,374.72
  5. Step 5: Solve for x
    x = 753,900,374.72/35,297.31
  6. Step 6: Final answer
    x = 21,358.58

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Why These Related Problems?

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