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Finding the Fourth Proportional to 82,798.06, 114,270.06 and 50,966.32

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Solution

The fourth proportional to 82,798.06, 114,270.06 and 50,966.32 is: 70,338.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,798.06 : 114,270.06 = 50,966.32 : x
  2. Step 2: Convert to fraction form
    82,798.06/114,270.06 = 50,966.32/x
  3. Step 3: Cross multiply
    82,798.06x = 114,270.06 × 50,966.32
  4. Step 4: Simplify right side
    82,798.06x = 5,823,924,444.38
  5. Step 5: Solve for x
    x = 5,823,924,444.38/82,798.06
  6. Step 6: Final answer
    x = 70,338.90

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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.