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Finding the Fourth Proportional to 82,047.32, 113,263.11 and 48,051.08

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Solution

The fourth proportional to 82,047.32, 113,263.11 and 48,051.08 is: 66,332.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,047.32 : 113,263.11 = 48,051.08 : x
  2. Step 2: Convert to fraction form
    82,047.32/113,263.11 = 48,051.08/x
  3. Step 3: Cross multiply
    82,047.32x = 113,263.11 × 48,051.08
  4. Step 4: Simplify right side
    82,047.32x = 5,442,414,862.63
  5. Step 5: Solve for x
    x = 5,442,414,862.63/82,047.32
  6. Step 6: Final answer
    x = 66,332.63

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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.