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Finding the Fourth Proportional to 56,291.98, 84,354.40 and 31,297.64

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Solution

The fourth proportional to 56,291.98, 84,354.40 and 31,297.64 is: 46,900.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,291.98 : 84,354.40 = 31,297.64 : x
  2. Step 2: Convert to fraction form
    56,291.98/84,354.40 = 31,297.64/x
  3. Step 3: Cross multiply
    56,291.98x = 84,354.40 × 31,297.64
  4. Step 4: Simplify right side
    56,291.98x = 2,640,093,643.62
  5. Step 5: Solve for x
    x = 2,640,093,643.62/56,291.98
  6. Step 6: Final answer
    x = 46,900.00

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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.