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Finding the Fourth Proportional to 31,068.84, 46,603.80 and 10,292.88

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Solution

The fourth proportional to 31,068.84, 46,603.80 and 10,292.88 is: 15,439.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,068.84 : 46,603.80 = 10,292.88 : x
  2. Step 2: Convert to fraction form
    31,068.84/46,603.80 = 10,292.88/x
  3. Step 3: Cross multiply
    31,068.84x = 46,603.80 × 10,292.88
  4. Step 4: Simplify right side
    31,068.84x = 479,687,320.94
  5. Step 5: Solve for x
    x = 479,687,320.94/31,068.84
  6. Step 6: Final answer
    x = 15,439.50

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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.