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Finding the Fourth Proportional to 84,293.65, 126,459.30 and 31,703.59

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Solution

The fourth proportional to 84,293.65, 126,459.30 and 31,703.59 is: 47,562.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,293.65 : 126,459.30 = 31,703.59 : x
  2. Step 2: Convert to fraction form
    84,293.65/126,459.30 = 31,703.59/x
  3. Step 3: Cross multiply
    84,293.65x = 126,459.30 × 31,703.59
  4. Step 4: Simplify right side
    84,293.65x = 4,009,213,166.59
  5. Step 5: Solve for x
    x = 4,009,213,166.59/84,293.65
  6. Step 6: Final answer
    x = 47,562.46

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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.