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Finding the Fourth Proportional to 31,502.54, 47,263.02 and 9,316.49

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Solution

The fourth proportional to 31,502.54, 47,263.02 and 9,316.49 is: 13,977.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,502.54 : 47,263.02 = 9,316.49 : x
  2. Step 2: Convert to fraction form
    31,502.54/47,263.02 = 9,316.49/x
  3. Step 3: Cross multiply
    31,502.54x = 47,263.02 × 9,316.49
  4. Step 4: Simplify right side
    31,502.54x = 440,325,216.88
  5. Step 5: Solve for x
    x = 440,325,216.88/31,502.54
  6. Step 6: Final answer
    x = 13,977.45

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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.