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Finding the Fourth Proportional to 82,214.70, 123,285.60 and 37,818.60

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Solution

The fourth proportional to 82,214.70, 123,285.60 and 37,818.60 is: 56,711.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,214.70 : 123,285.60 = 37,818.60 : x
  2. Step 2: Convert to fraction form
    82,214.70/123,285.60 = 37,818.60/x
  3. Step 3: Cross multiply
    82,214.70x = 123,285.60 × 37,818.60
  4. Step 4: Simplify right side
    82,214.70x = 4,662,488,792.16
  5. Step 5: Solve for x
    x = 4,662,488,792.16/82,214.70
  6. Step 6: Final answer
    x = 56,711.13

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1.5x scale

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.