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Finding the Fourth Proportional to 31,820.54, 47,712.50 and 13,113.48

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Solution

The fourth proportional to 31,820.54, 47,712.50 and 13,113.48 is: 19,662.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,820.54 : 47,712.50 = 13,113.48 : x
  2. Step 2: Convert to fraction form
    31,820.54/47,712.50 = 13,113.48/x
  3. Step 3: Cross multiply
    31,820.54x = 47,712.50 × 13,113.48
  4. Step 4: Simplify right side
    31,820.54x = 625,676,848.93
  5. Step 5: Solve for x
    x = 625,676,848.93/31,820.54
  6. Step 6: Final answer
    x = 19,662.68

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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.