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Finding the Fourth Proportional to 30,531.97, 45,804.52 and 9,471.58

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Solution

The fourth proportional to 30,531.97, 45,804.52 and 9,471.58 is: 14,209.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,531.97 : 45,804.52 = 9,471.58 : x
  2. Step 2: Convert to fraction form
    30,531.97/45,804.52 = 9,471.58/x
  3. Step 3: Cross multiply
    30,531.97x = 45,804.52 × 9,471.58
  4. Step 4: Simplify right side
    30,531.97x = 433,841,175.54
  5. Step 5: Solve for x
    x = 433,841,175.54/30,531.97
  6. Step 6: Final answer
    x = 14,209.41

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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.