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Finding the Fourth Proportional to 82,961.46, 114,486.48 and 45,235.71

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Solution

The fourth proportional to 82,961.46, 114,486.48 and 45,235.71 is: 62,425.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,961.46 : 114,486.48 = 45,235.71 : x
  2. Step 2: Convert to fraction form
    82,961.46/114,486.48 = 45,235.71/x
  3. Step 3: Cross multiply
    82,961.46x = 114,486.48 × 45,235.71
  4. Step 4: Simplify right side
    82,961.46x = 5,178,877,208.20
  5. Step 5: Solve for x
    x = 5,178,877,208.20/82,961.46
  6. Step 6: Final answer
    x = 62,425.10

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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.