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Finding the Fourth Proportional to 31,264, 46,907.52 and 16,472.32

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Solution

The fourth proportional to 31,264, 46,907.52 and 16,472.32 is: 24,714.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,264 : 46,907.52 = 16,472.32 : x
  2. Step 2: Convert to fraction form
    31,264/46,907.52 = 16,472.32/x
  3. Step 3: Cross multiply
    31,264x = 46,907.52 × 16,472.32
  4. Step 4: Simplify right side
    31,264x = 772,675,679.85
  5. Step 5: Solve for x
    x = 772,675,679.85/31,264
  6. Step 6: Final answer
    x = 24,714.55

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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.