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Finding the Fourth Proportional to 29,422.17, 44,136.36 and 9,700.83

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Solution

The fourth proportional to 29,422.17, 44,136.36 and 9,700.83 is: 14,552.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,422.17 : 44,136.36 = 9,700.83 : x
  2. Step 2: Convert to fraction form
    29,422.17/44,136.36 = 9,700.83/x
  3. Step 3: Cross multiply
    29,422.17x = 44,136.36 × 9,700.83
  4. Step 4: Simplify right side
    29,422.17x = 428,159,325.18
  5. Step 5: Solve for x
    x = 428,159,325.18/29,422.17
  6. Step 6: Final answer
    x = 14,552.27

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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.