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Finding the Fourth Proportional to 82,770.90, 114,215.93 and 46,464.03

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Solution

The fourth proportional to 82,770.90, 114,215.93 and 46,464.03 is: 64,115.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,770.90 : 114,215.93 = 46,464.03 : x
  2. Step 2: Convert to fraction form
    82,770.90/114,215.93 = 46,464.03/x
  3. Step 3: Cross multiply
    82,770.90x = 114,215.93 × 46,464.03
  4. Step 4: Simplify right side
    82,770.90x = 5,306,932,398.00
  5. Step 5: Solve for x
    x = 5,306,932,398.00/82,770.90
  6. Step 6: Final answer
    x = 64,115.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.