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Finding the Fourth Proportional to 31,480.15, 47,225.35 and 9,295.77

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Solution

The fourth proportional to 31,480.15, 47,225.35 and 9,295.77 is: 13,945.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,480.15 : 47,225.35 = 9,295.77 : x
  2. Step 2: Convert to fraction form
    31,480.15/47,225.35 = 9,295.77/x
  3. Step 3: Cross multiply
    31,480.15x = 47,225.35 × 9,295.77
  4. Step 4: Simplify right side
    31,480.15x = 438,995,991.77
  5. Step 5: Solve for x
    x = 438,995,991.77/31,480.15
  6. Step 6: Final answer
    x = 13,945.17

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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.