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Finding the Fourth Proportional to 29,816.74, 44,730.78 and 10,090

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Solution

The fourth proportional to 29,816.74, 44,730.78 and 10,090 is: 15,136.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,816.74 : 44,730.78 = 10,090 : x
  2. Step 2: Convert to fraction form
    29,816.74/44,730.78 = 10,090/x
  3. Step 3: Cross multiply
    29,816.74x = 44,730.78 × 10,090
  4. Step 4: Simplify right side
    29,816.74x = 451,333,570.20
  5. Step 5: Solve for x
    x = 451,333,570.20/29,816.74
  6. Step 6: Final answer
    x = 15,136.92

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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.