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Finding the Fourth Proportional to 31,059.60, 46,575.08 and 9,995.76

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Solution

The fourth proportional to 31,059.60, 46,575.08 and 9,995.76 is: 14,989.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,059.60 : 46,575.08 = 9,995.76 : x
  2. Step 2: Convert to fraction form
    31,059.60/46,575.08 = 9,995.76/x
  3. Step 3: Cross multiply
    31,059.60x = 46,575.08 × 9,995.76
  4. Step 4: Simplify right side
    31,059.60x = 465,553,321.66
  5. Step 5: Solve for x
    x = 465,553,321.66/31,059.60
  6. Step 6: Final answer
    x = 14,989.03

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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.