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Finding the Fourth Proportional to 82,762.81, 124,090.80 and 35,408.80

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Solution

The fourth proportional to 82,762.81, 124,090.80 and 35,408.80 is: 53,090.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,762.81 : 124,090.80 = 35,408.80 : x
  2. Step 2: Convert to fraction form
    82,762.81/124,090.80 = 35,408.80/x
  3. Step 3: Cross multiply
    82,762.81x = 124,090.80 × 35,408.80
  4. Step 4: Simplify right side
    82,762.81x = 4,393,906,319.04
  5. Step 5: Solve for x
    x = 4,393,906,319.04/82,762.81
  6. Step 6: Final answer
    x = 53,090.35

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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.