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Finding the Fourth Proportional to 82,585.98, 113,903.82 and 73,036.08

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Solution

The fourth proportional to 82,585.98, 113,903.82 and 73,036.08 is: 100,732.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,585.98 : 113,903.82 = 73,036.08 : x
  2. Step 2: Convert to fraction form
    82,585.98/113,903.82 = 73,036.08/x
  3. Step 3: Cross multiply
    82,585.98x = 113,903.82 × 73,036.08
  4. Step 4: Simplify right side
    82,585.98x = 8,319,088,509.83
  5. Step 5: Solve for x
    x = 8,319,088,509.83/82,585.98
  6. Step 6: Final answer
    x = 100,732.45

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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.