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Finding the Fourth Proportional to 82,937, 114,453.09 and 47,127.05

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Solution

The fourth proportional to 82,937, 114,453.09 and 47,127.05 is: 65,035.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,937 : 114,453.09 = 47,127.05 : x
  2. Step 2: Convert to fraction form
    82,937/114,453.09 = 47,127.05/x
  3. Step 3: Cross multiply
    82,937x = 114,453.09 × 47,127.05
  4. Step 4: Simplify right side
    82,937x = 5,393,836,495.08
  5. Step 5: Solve for x
    x = 5,393,836,495.08/82,937
  6. Step 6: Final answer
    x = 65,035.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.