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Finding the Fourth Proportional to 31,043.01, 46,564.52 and 9,982.59

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Solution

The fourth proportional to 31,043.01, 46,564.52 and 9,982.59 is: 14,973.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,043.01 : 46,564.52 = 9,982.59 : x
  2. Step 2: Convert to fraction form
    31,043.01/46,564.52 = 9,982.59/x
  3. Step 3: Cross multiply
    31,043.01x = 46,564.52 × 9,982.59
  4. Step 4: Simplify right side
    31,043.01x = 464,834,368.46
  5. Step 5: Solve for x
    x = 464,834,368.46/31,043.01
  6. Step 6: Final answer
    x = 14,973.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.