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Finding the Fourth Proportional to 31,875.03, 47,807.32 and 9,380.44

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Solution

The fourth proportional to 31,875.03, 47,807.32 and 9,380.44 is: 14,069.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,875.03 : 47,807.32 = 9,380.44 : x
  2. Step 2: Convert to fraction form
    31,875.03/47,807.32 = 9,380.44/x
  3. Step 3: Cross multiply
    31,875.03x = 47,807.32 × 9,380.44
  4. Step 4: Simplify right side
    31,875.03x = 448,453,777.10
  5. Step 5: Solve for x
    x = 448,453,777.10/31,875.03
  6. Step 6: Final answer
    x = 14,069.13

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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.