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Finding the Fourth Proportional to 82,705.96, 114,097.38 and 55,840.36

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Solution

The fourth proportional to 82,705.96, 114,097.38 and 55,840.36 is: 77,034.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,705.96 : 114,097.38 = 55,840.36 : x
  2. Step 2: Convert to fraction form
    82,705.96/114,097.38 = 55,840.36/x
  3. Step 3: Cross multiply
    82,705.96x = 114,097.38 × 55,840.36
  4. Step 4: Simplify right side
    82,705.96x = 6,371,238,774.26
  5. Step 5: Solve for x
    x = 6,371,238,774.26/82,705.96
  6. Step 6: Final answer
    x = 77,034.82

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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.