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Finding the Fourth Proportional to 82,901.32, 114,399.74 and 47,086.64

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Solution

The fourth proportional to 82,901.32, 114,399.74 and 47,086.64 is: 64,977.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,901.32 : 114,399.74 = 47,086.64 : x
  2. Step 2: Convert to fraction form
    82,901.32/114,399.74 = 47,086.64/x
  3. Step 3: Cross multiply
    82,901.32x = 114,399.74 × 47,086.64
  4. Step 4: Simplify right side
    82,901.32x = 5,386,699,373.47
  5. Step 5: Solve for x
    x = 5,386,699,373.47/82,901.32
  6. Step 6: Final answer
    x = 64,977.24

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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.