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Finding the Fourth Proportional to 31,332, 46,998 and 9,444

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Solution

The fourth proportional to 31,332, 46,998 and 9,444 is: 14,166

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,332 : 46,998 = 9,444 : x
  2. Step 2: Convert to fraction form
    31,332/46,998 = 9,444/x
  3. Step 3: Cross multiply
    31,332x = 46,998 × 9,444
  4. Step 4: Simplify right side
    31,332x = 443,849,112
  5. Step 5: Solve for x
    x = 443,849,112/31,332
  6. Step 6: Final answer
    x = 14,166

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.