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Finding the Fourth Proportional to 84,361.25, 126,538.53 and 46,897.64

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Solution

The fourth proportional to 84,361.25, 126,538.53 and 46,897.64 is: 70,344.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,361.25 : 126,538.53 = 46,897.64 : x
  2. Step 2: Convert to fraction form
    84,361.25/126,538.53 = 46,897.64/x
  3. Step 3: Cross multiply
    84,361.25x = 126,538.53 × 46,897.64
  4. Step 4: Simplify right side
    84,361.25x = 5,934,357,793.38
  5. Step 5: Solve for x
    x = 5,934,357,793.38/84,361.25
  6. Step 6: Final answer
    x = 70,344.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.