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Finding the Fourth Proportional to 82,841.46, 114,333.30 and 47,024.10

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Solution

The fourth proportional to 82,841.46, 114,333.30 and 47,024.10 is: 64,900.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,841.46 : 114,333.30 = 47,024.10 : x
  2. Step 2: Convert to fraction form
    82,841.46/114,333.30 = 47,024.10/x
  3. Step 3: Cross multiply
    82,841.46x = 114,333.30 × 47,024.10
  4. Step 4: Simplify right side
    82,841.46x = 5,376,420,532.53
  5. Step 5: Solve for x
    x = 5,376,420,532.53/82,841.46
  6. Step 6: Final answer
    x = 64,900.12

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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.