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Finding the Fourth Proportional to 82,784.64, 114,242.22 and 45,058.89

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Solution

The fourth proportional to 82,784.64, 114,242.22 and 45,058.89 is: 62,180.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,784.64 : 114,242.22 = 45,058.89 : x
  2. Step 2: Convert to fraction form
    82,784.64/114,242.22 = 45,058.89/x
  3. Step 3: Cross multiply
    82,784.64x = 114,242.22 × 45,058.89
  4. Step 4: Simplify right side
    82,784.64x = 5,147,627,624.34
  5. Step 5: Solve for x
    x = 5,147,627,624.34/82,784.64
  6. Step 6: Final answer
    x = 62,180.95

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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.