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Finding the Fourth Proportional to 31,356.98, 43,269.37 and 17,746.55

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Solution

The fourth proportional to 31,356.98, 43,269.37 and 17,746.55 is: 24,488.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,356.98 : 43,269.37 = 17,746.55 : x
  2. Step 2: Convert to fraction form
    31,356.98/43,269.37 = 17,746.55/x
  3. Step 3: Cross multiply
    31,356.98x = 43,269.37 × 17,746.55
  4. Step 4: Simplify right side
    31,356.98x = 767,881,777.46
  5. Step 5: Solve for x
    x = 767,881,777.46/31,356.98
  6. Step 6: Final answer
    x = 24,488.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.