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Finding the Fourth Proportional to 82,244.84, 123,348.80 and 37,828.92

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Solution

The fourth proportional to 82,244.84, 123,348.80 and 37,828.92 is: 56,734.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,244.84 : 123,348.80 = 37,828.92 : x
  2. Step 2: Convert to fraction form
    82,244.84/123,348.80 = 37,828.92/x
  3. Step 3: Cross multiply
    82,244.84x = 123,348.80 × 37,828.92
  4. Step 4: Simplify right side
    82,244.84x = 4,666,151,887.30
  5. Step 5: Solve for x
    x = 4,666,151,887.30/82,244.84
  6. Step 6: Final answer
    x = 56,734.89

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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.