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Finding the Fourth Proportional to 72,314, 108,472.92 and 23,066

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Solution

The fourth proportional to 72,314, 108,472.92 and 23,066 is: 34,599.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,314 : 108,472.92 = 23,066 : x
  2. Step 2: Convert to fraction form
    72,314/108,472.92 = 23,066/x
  3. Step 3: Cross multiply
    72,314x = 108,472.92 × 23,066
  4. Step 4: Simplify right side
    72,314x = 2,502,036,372.72
  5. Step 5: Solve for x
    x = 2,502,036,372.72/72,314
  6. Step 6: Final answer
    x = 34,599.61

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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.