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Finding the Fourth Proportional to 82,655.29, 114,090.06 and 48,661.03

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Solution

The fourth proportional to 82,655.29, 114,090.06 and 48,661.03 is: 67,167.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,655.29 : 114,090.06 = 48,661.03 : x
  2. Step 2: Convert to fraction form
    82,655.29/114,090.06 = 48,661.03/x
  3. Step 3: Cross multiply
    82,655.29x = 114,090.06 × 48,661.03
  4. Step 4: Simplify right side
    82,655.29x = 5,551,739,832.36
  5. Step 5: Solve for x
    x = 5,551,739,832.36/82,655.29
  6. Step 6: Final answer
    x = 67,167.39

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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.