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Finding the Fourth Proportional to 31,010.54, 46,462.30 and 16,980.66

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Solution

The fourth proportional to 31,010.54, 46,462.30 and 16,980.66 is: 25,441.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,010.54 : 46,462.30 = 16,980.66 : x
  2. Step 2: Convert to fraction form
    31,010.54/46,462.30 = 16,980.66/x
  3. Step 3: Cross multiply
    31,010.54x = 46,462.30 × 16,980.66
  4. Step 4: Simplify right side
    31,010.54x = 788,960,572.18
  5. Step 5: Solve for x
    x = 788,960,572.18/31,010.54
  6. Step 6: Final answer
    x = 25,441.69

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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.