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Finding the Fourth Proportional to 82,398.37, 113,705.07 and 46,589.89

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Solution

The fourth proportional to 82,398.37, 113,705.07 and 46,589.89 is: 64,291.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,398.37 : 113,705.07 = 46,589.89 : x
  2. Step 2: Convert to fraction form
    82,398.37/113,705.07 = 46,589.89/x
  3. Step 3: Cross multiply
    82,398.37x = 113,705.07 × 46,589.89
  4. Step 4: Simplify right side
    82,398.37x = 5,297,506,703.74
  5. Step 5: Solve for x
    x = 5,297,506,703.74/82,398.37
  6. Step 6: Final answer
    x = 64,291.40

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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.