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Finding the Fourth Proportional to 31,304.40, 46,955.17 and 9,117.28

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Solution

The fourth proportional to 31,304.40, 46,955.17 and 9,117.28 is: 13,675.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,304.40 : 46,955.17 = 9,117.28 : x
  2. Step 2: Convert to fraction form
    31,304.40/46,955.17 = 9,117.28/x
  3. Step 3: Cross multiply
    31,304.40x = 46,955.17 × 9,117.28
  4. Step 4: Simplify right side
    31,304.40x = 428,103,432.34
  5. Step 5: Solve for x
    x = 428,103,432.34/31,304.40
  6. Step 6: Final answer
    x = 13,675.50

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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.