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Finding the Fourth Proportional to 31,728.74, 47,584.58 and 9,537.16

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Solution

The fourth proportional to 31,728.74, 47,584.58 and 9,537.16 is: 14,303.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,728.74 : 47,584.58 = 9,537.16 : x
  2. Step 2: Convert to fraction form
    31,728.74/47,584.58 = 9,537.16/x
  3. Step 3: Cross multiply
    31,728.74x = 47,584.58 × 9,537.16
  4. Step 4: Simplify right side
    31,728.74x = 453,821,752.99
  5. Step 5: Solve for x
    x = 453,821,752.99/31,728.74
  6. Step 6: Final answer
    x = 14,303.18

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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.