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Finding the Fourth Proportional to 82,305.13, 113,590.30 and 46,497.45

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Solution

The fourth proportional to 82,305.13, 113,590.30 and 46,497.45 is: 64,171.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,305.13 : 113,590.30 = 46,497.45 : x
  2. Step 2: Convert to fraction form
    82,305.13/113,590.30 = 46,497.45/x
  3. Step 3: Cross multiply
    82,305.13x = 113,590.30 × 46,497.45
  4. Step 4: Simplify right side
    82,305.13x = 5,281,659,294.74
  5. Step 5: Solve for x
    x = 5,281,659,294.74/82,305.13
  6. Step 6: Final answer
    x = 64,171.69

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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.