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Finding the Fourth Proportional to 84,592, 126,896.57 and 31,298.05

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Solution

The fourth proportional to 84,592, 126,896.57 and 31,298.05 is: 46,950.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,592 : 126,896.57 = 31,298.05 : x
  2. Step 2: Convert to fraction form
    84,592/126,896.57 = 31,298.05/x
  3. Step 3: Cross multiply
    84,592x = 126,896.57 × 31,298.05
  4. Step 4: Simplify right side
    84,592x = 3,971,615,192.69
  5. Step 5: Solve for x
    x = 3,971,615,192.69/84,592
  6. Step 6: Final answer
    x = 46,950.25

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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.