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Finding the Fourth Proportional to 30,753.46, 46,117.26 and 10,758.68

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Solution

The fourth proportional to 30,753.46, 46,117.26 and 10,758.68 is: 16,133.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,753.46 : 46,117.26 = 10,758.68 : x
  2. Step 2: Convert to fraction form
    30,753.46/46,117.26 = 10,758.68/x
  3. Step 3: Cross multiply
    30,753.46x = 46,117.26 × 10,758.68
  4. Step 4: Simplify right side
    30,753.46x = 496,160,842.82
  5. Step 5: Solve for x
    x = 496,160,842.82/30,753.46
  6. Step 6: Final answer
    x = 16,133.50

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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.