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Finding the Fourth Proportional to 82,790.34, 114,252.75 and 45,064.50

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Solution

The fourth proportional to 82,790.34, 114,252.75 and 45,064.50 is: 62,190.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,790.34 : 114,252.75 = 45,064.50 : x
  2. Step 2: Convert to fraction form
    82,790.34/114,252.75 = 45,064.50/x
  3. Step 3: Cross multiply
    82,790.34x = 114,252.75 × 45,064.50
  4. Step 4: Simplify right side
    82,790.34x = 5,148,743,052.38
  5. Step 5: Solve for x
    x = 5,148,743,052.38/82,790.34
  6. Step 6: Final answer
    x = 62,190.14

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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.