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Finding the Fourth Proportional to 82,768.08, 114,019.24 and 61,510.48

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Solution

The fourth proportional to 82,768.08, 114,019.24 and 61,510.48 is: 84,735.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,768.08 : 114,019.24 = 61,510.48 : x
  2. Step 2: Convert to fraction form
    82,768.08/114,019.24 = 61,510.48/x
  3. Step 3: Cross multiply
    82,768.08x = 114,019.24 × 61,510.48
  4. Step 4: Simplify right side
    82,768.08x = 7,013,378,181.64
  5. Step 5: Solve for x
    x = 7,013,378,181.64/82,768.08
  6. Step 6: Final answer
    x = 84,735.30

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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.