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Finding the Fourth Proportional to 56,290.98, 84,352.90 and 31,296.64

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Solution

The fourth proportional to 56,290.98, 84,352.90 and 31,296.64 is: 46,898.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,290.98 : 84,352.90 = 31,296.64 : x
  2. Step 2: Convert to fraction form
    56,290.98/84,352.90 = 31,296.64/x
  3. Step 3: Cross multiply
    56,290.98x = 84,352.90 × 31,296.64
  4. Step 4: Simplify right side
    56,290.98x = 2,639,962,344.26
  5. Step 5: Solve for x
    x = 2,639,962,344.26/56,290.98
  6. Step 6: Final answer
    x = 46,898.50

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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.