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Finding the Fourth Proportional to 31,159.50, 43,000.32 and 17,012.52

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Solution

The fourth proportional to 31,159.50, 43,000.32 and 17,012.52 is: 23,477.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,159.50 : 43,000.32 = 17,012.52 : x
  2. Step 2: Convert to fraction form
    31,159.50/43,000.32 = 17,012.52/x
  3. Step 3: Cross multiply
    31,159.50x = 43,000.32 × 17,012.52
  4. Step 4: Simplify right side
    31,159.50x = 731,543,804.01
  5. Step 5: Solve for x
    x = 731,543,804.01/31,159.50
  6. Step 6: Final answer
    x = 23,477.39

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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.