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Finding the Fourth Proportional to 31,502.79, 47,261.08 and 23,157.49

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Solution

The fourth proportional to 31,502.79, 47,261.08 and 23,157.49 is: 34,741.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,502.79 : 47,261.08 = 23,157.49 : x
  2. Step 2: Convert to fraction form
    31,502.79/47,261.08 = 23,157.49/x
  3. Step 3: Cross multiply
    31,502.79x = 47,261.08 × 23,157.49
  4. Step 4: Simplify right side
    31,502.79x = 1,094,447,987.49
  5. Step 5: Solve for x
    x = 1,094,447,987.49/31,502.79
  6. Step 6: Final answer
    x = 34,741.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.