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Finding the Fourth Proportional to 31,034.88, 46,552.32 and 7,661.76

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Solution

The fourth proportional to 31,034.88, 46,552.32 and 7,661.76 is: 11,492.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,034.88 : 46,552.32 = 7,661.76 : x
  2. Step 2: Convert to fraction form
    31,034.88/46,552.32 = 7,661.76/x
  3. Step 3: Cross multiply
    31,034.88x = 46,552.32 × 7,661.76
  4. Step 4: Simplify right side
    31,034.88x = 356,672,703.28
  5. Step 5: Solve for x
    x = 356,672,703.28/31,034.88
  6. Step 6: Final answer
    x = 11,492.64

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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.