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Finding the Fourth Proportional to 64,478.16, 96,747 and 29,428.56

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Solution

The fourth proportional to 64,478.16, 96,747 and 29,428.56 is: 44,156.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,478.16 : 96,747 = 29,428.56 : x
  2. Step 2: Convert to fraction form
    64,478.16/96,747 = 29,428.56/x
  3. Step 3: Cross multiply
    64,478.16x = 96,747 × 29,428.56
  4. Step 4: Simplify right side
    64,478.16x = 2,847,124,894.32
  5. Step 5: Solve for x
    x = 2,847,124,894.32/64,478.16
  6. Step 6: Final answer
    x = 44,156.42

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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.