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Finding the Fourth Proportional to 31,092.92, 46,653.15 and 16,298.32

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Solution

The fourth proportional to 31,092.92, 46,653.15 and 16,298.32 is: 24,454.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,092.92 : 46,653.15 = 16,298.32 : x
  2. Step 2: Convert to fraction form
    31,092.92/46,653.15 = 16,298.32/x
  3. Step 3: Cross multiply
    31,092.92x = 46,653.15 × 16,298.32
  4. Step 4: Simplify right side
    31,092.92x = 760,367,967.71
  5. Step 5: Solve for x
    x = 760,367,967.71/31,092.92
  6. Step 6: Final answer
    x = 24,454.70

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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.