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Finding the Fourth Proportional to 70,814.37, 97,727.34 and 38,982.93

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Solution

The fourth proportional to 70,814.37, 97,727.34 and 38,982.93 is: 53,798.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,814.37 : 97,727.34 = 38,982.93 : x
  2. Step 2: Convert to fraction form
    70,814.37/97,727.34 = 38,982.93/x
  3. Step 3: Cross multiply
    70,814.37x = 97,727.34 × 38,982.93
  4. Step 4: Simplify right side
    70,814.37x = 3,809,698,054.31
  5. Step 5: Solve for x
    x = 3,809,698,054.31/70,814.37
  6. Step 6: Final answer
    x = 53,798.38

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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.