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Finding the Fourth Proportional to 30,710.16, 46,065.25 and 8,523.54

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Solution

The fourth proportional to 30,710.16, 46,065.25 and 8,523.54 is: 12,785.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,710.16 : 46,065.25 = 8,523.54 : x
  2. Step 2: Convert to fraction form
    30,710.16/46,065.25 = 8,523.54/x
  3. Step 3: Cross multiply
    30,710.16x = 46,065.25 × 8,523.54
  4. Step 4: Simplify right side
    30,710.16x = 392,639,000.99
  5. Step 5: Solve for x
    x = 392,639,000.99/30,710.16
  6. Step 6: Final answer
    x = 12,785.31

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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.