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Finding the Fourth Proportional to 82,997.68, 114,535.80 and 45,271.12

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Solution

The fourth proportional to 82,997.68, 114,535.80 and 45,271.12 is: 62,473.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,997.68 : 114,535.80 = 45,271.12 : x
  2. Step 2: Convert to fraction form
    82,997.68/114,535.80 = 45,271.12/x
  3. Step 3: Cross multiply
    82,997.68x = 114,535.80 × 45,271.12
  4. Step 4: Simplify right side
    82,997.68x = 5,185,163,946.10
  5. Step 5: Solve for x
    x = 5,185,163,946.10/82,997.68
  6. Step 6: Final answer
    x = 62,473.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.