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Finding the Fourth Proportional to 31,610, 43,619.70 and 17,462.72

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Solution

The fourth proportional to 31,610, 43,619.70 and 17,462.72 is: 24,097.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,610 : 43,619.70 = 17,462.72 : x
  2. Step 2: Convert to fraction form
    31,610/43,619.70 = 17,462.72/x
  3. Step 3: Cross multiply
    31,610x = 43,619.70 × 17,462.72
  4. Step 4: Simplify right side
    31,610x = 761,718,607.58
  5. Step 5: Solve for x
    x = 761,718,607.58/31,610
  6. Step 6: Final answer
    x = 24,097.39

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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.