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Finding the Fourth Proportional to 31,903.48, 47,857.16 and 9,718.48

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Solution

The fourth proportional to 31,903.48, 47,857.16 and 9,718.48 is: 14,578.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,903.48 : 47,857.16 = 9,718.48 : x
  2. Step 2: Convert to fraction form
    31,903.48/47,857.16 = 9,718.48/x
  3. Step 3: Cross multiply
    31,903.48x = 47,857.16 × 9,718.48
  4. Step 4: Simplify right side
    31,903.48x = 465,098,852.32
  5. Step 5: Solve for x
    x = 465,098,852.32/31,903.48
  6. Step 6: Final answer
    x = 14,578.31

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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.