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Finding the Fourth Proportional to 82,783.96, 114,242.34 and 45,058.12

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Solution

The fourth proportional to 82,783.96, 114,242.34 and 45,058.12 is: 62,180.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,783.96 : 114,242.34 = 45,058.12 : x
  2. Step 2: Convert to fraction form
    82,783.96/114,242.34 = 45,058.12/x
  3. Step 3: Cross multiply
    82,783.96x = 114,242.34 × 45,058.12
  4. Step 4: Simplify right side
    82,783.96x = 5,147,545,064.80
  5. Step 5: Solve for x
    x = 5,147,545,064.80/82,783.96
  6. Step 6: Final answer
    x = 62,180.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.