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Finding the Fourth Proportional to 31,104, 46,661.76 and 14,688

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Solution

The fourth proportional to 31,104, 46,661.76 and 14,688 is: 22,034.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,104 : 46,661.76 = 14,688 : x
  2. Step 2: Convert to fraction form
    31,104/46,661.76 = 14,688/x
  3. Step 3: Cross multiply
    31,104x = 46,661.76 × 14,688
  4. Step 4: Simplify right side
    31,104x = 685,367,930.88
  5. Step 5: Solve for x
    x = 685,367,930.88/31,104
  6. Step 6: Final answer
    x = 22,034.72

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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.