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Finding the Fourth Proportional to 31,657.41, 43,685.01 and 17,509.14

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Solution

The fourth proportional to 31,657.41, 43,685.01 and 17,509.14 is: 24,161.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,657.41 : 43,685.01 = 17,509.14 : x
  2. Step 2: Convert to fraction form
    31,657.41/43,685.01 = 17,509.14/x
  3. Step 3: Cross multiply
    31,657.41x = 43,685.01 × 17,509.14
  4. Step 4: Simplify right side
    31,657.41x = 764,886,955.99
  5. Step 5: Solve for x
    x = 764,886,955.99/31,657.41
  6. Step 6: Final answer
    x = 24,161.39

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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.