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Finding the Fourth Proportional to 82,356.70, 123,498.60 and 37,960.60

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Solution

The fourth proportional to 82,356.70, 123,498.60 and 37,960.60 is: 56,924.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,356.70 : 123,498.60 = 37,960.60 : x
  2. Step 2: Convert to fraction form
    82,356.70/123,498.60 = 37,960.60/x
  3. Step 3: Cross multiply
    82,356.70x = 123,498.60 × 37,960.60
  4. Step 4: Simplify right side
    82,356.70x = 4,688,080,955.16
  5. Step 5: Solve for x
    x = 4,688,080,955.16/82,356.70
  6. Step 6: Final answer
    x = 56,924.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.