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Finding the Fourth Proportional to 31,675.64, 47,480.36 and 10,598.34

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Solution

The fourth proportional to 31,675.64, 47,480.36 and 10,598.34 is: 15,886.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,675.64 : 47,480.36 = 10,598.34 : x
  2. Step 2: Convert to fraction form
    31,675.64/47,480.36 = 10,598.34/x
  3. Step 3: Cross multiply
    31,675.64x = 47,480.36 × 10,598.34
  4. Step 4: Simplify right side
    31,675.64x = 503,212,945.61
  5. Step 5: Solve for x
    x = 503,212,945.61/31,675.64
  6. Step 6: Final answer
    x = 15,886.44

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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.