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Finding the Fourth Proportional to 31,376.03, 47,065.37 and 9,189.41

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Solution

The fourth proportional to 31,376.03, 47,065.37 and 9,189.41 is: 13,784.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,376.03 : 47,065.37 = 9,189.41 : x
  2. Step 2: Convert to fraction form
    31,376.03/47,065.37 = 9,189.41/x
  3. Step 3: Cross multiply
    31,376.03x = 47,065.37 × 9,189.41
  4. Step 4: Simplify right side
    31,376.03x = 432,502,700.46
  5. Step 5: Solve for x
    x = 432,502,700.46/31,376.03
  6. Step 6: Final answer
    x = 13,784.50

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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.