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Finding the Fourth Proportional to 31,349.95, 47,024.65 and 7,976.32

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Solution

The fourth proportional to 31,349.95, 47,024.65 and 7,976.32 is: 11,964.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,349.95 : 47,024.65 = 7,976.32 : x
  2. Step 2: Convert to fraction form
    31,349.95/47,024.65 = 7,976.32/x
  3. Step 3: Cross multiply
    31,349.95x = 47,024.65 × 7,976.32
  4. Step 4: Simplify right side
    31,349.95x = 375,083,656.29
  5. Step 5: Solve for x
    x = 375,083,656.29/31,349.95
  6. Step 6: Final answer
    x = 11,964.41

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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.