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Finding the Fourth Proportional to 30,046.16, 41,438.46 and 22,510.16

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Solution

The fourth proportional to 30,046.16, 41,438.46 and 22,510.16 is: 31,045.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,046.16 : 41,438.46 = 22,510.16 : x
  2. Step 2: Convert to fraction form
    30,046.16/41,438.46 = 22,510.16/x
  3. Step 3: Cross multiply
    30,046.16x = 41,438.46 × 22,510.16
  4. Step 4: Simplify right side
    30,046.16x = 932,786,364.75
  5. Step 5: Solve for x
    x = 932,786,364.75/30,046.16
  6. Step 6: Final answer
    x = 31,045.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.