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Finding the Fourth Proportional to 82,399.98, 113,711.58 and 46,590.06

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Solution

The fourth proportional to 82,399.98, 113,711.58 and 46,590.06 is: 64,294.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,399.98 : 113,711.58 = 46,590.06 : x
  2. Step 2: Convert to fraction form
    82,399.98/113,711.58 = 46,590.06/x
  3. Step 3: Cross multiply
    82,399.98x = 113,711.58 × 46,590.06
  4. Step 4: Simplify right side
    82,399.98x = 5,297,829,334.89
  5. Step 5: Solve for x
    x = 5,297,829,334.89/82,399.98
  6. Step 6: Final answer
    x = 64,294.06

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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.