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Finding the Fourth Proportional to 34,294.16, 51,416.64 and 15,564.78

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Solution

The fourth proportional to 34,294.16, 51,416.64 and 15,564.78 is: 23,336.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,294.16 : 51,416.64 = 15,564.78 : x
  2. Step 2: Convert to fraction form
    34,294.16/51,416.64 = 15,564.78/x
  3. Step 3: Cross multiply
    34,294.16x = 51,416.64 × 15,564.78
  4. Step 4: Simplify right side
    34,294.16x = 800,288,689.94
  5. Step 5: Solve for x
    x = 800,288,689.94/34,294.16
  6. Step 6: Final answer
    x = 23,336.01

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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.