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Finding the Fourth Proportional to 31,386, 47,083.40 and 9,200.96

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Solution

The fourth proportional to 31,386, 47,083.40 and 9,200.96 is: 13,802.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,386 : 47,083.40 = 9,200.96 : x
  2. Step 2: Convert to fraction form
    31,386/47,083.40 = 9,200.96/x
  3. Step 3: Cross multiply
    31,386x = 47,083.40 × 9,200.96
  4. Step 4: Simplify right side
    31,386x = 433,212,480.06
  5. Step 5: Solve for x
    x = 433,212,480.06/31,386
  6. Step 6: Final answer
    x = 13,802.73

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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.