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Finding the Fourth Proportional to 82,602.09, 113,990.91 and 49,068.09

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Solution

The fourth proportional to 82,602.09, 113,990.91 and 49,068.09 is: 67,713.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,602.09 : 113,990.91 = 49,068.09 : x
  2. Step 2: Convert to fraction form
    82,602.09/113,990.91 = 49,068.09/x
  3. Step 3: Cross multiply
    82,602.09x = 113,990.91 × 49,068.09
  4. Step 4: Simplify right side
    82,602.09x = 5,593,316,231.06
  5. Step 5: Solve for x
    x = 5,593,316,231.06/82,602.09
  6. Step 6: Final answer
    x = 67,713.98

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1.5x scale

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.