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Finding the Fourth Proportional to 31,655.00, 47,460.63 and 15,842.99

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Solution

The fourth proportional to 31,655.00, 47,460.63 and 15,842.99 is: 23,753.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,655.00 : 47,460.63 = 15,842.99 : x
  2. Step 2: Convert to fraction form
    31,655.00/47,460.63 = 15,842.99/x
  3. Step 3: Cross multiply
    31,655.00x = 47,460.63 × 15,842.99
  4. Step 4: Simplify right side
    31,655.00x = 751,918,464.55
  5. Step 5: Solve for x
    x = 751,918,464.55/31,655.00
  6. Step 6: Final answer
    x = 23,753.54

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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.