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Finding the Fourth Proportional to 31,462.56, 47,202 and 11,741.25

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Solution

The fourth proportional to 31,462.56, 47,202 and 11,741.25 is: 17,614.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,462.56 : 47,202 = 11,741.25 : x
  2. Step 2: Convert to fraction form
    31,462.56/47,202 = 11,741.25/x
  3. Step 3: Cross multiply
    31,462.56x = 47,202 × 11,741.25
  4. Step 4: Simplify right side
    31,462.56x = 554,210,482.50
  5. Step 5: Solve for x
    x = 554,210,482.50/31,462.56
  6. Step 6: Final answer
    x = 17,614.92

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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.