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Finding the Fourth Proportional to 82,828.08, 114,304.08 and 45,102.32

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Solution

The fourth proportional to 82,828.08, 114,304.08 and 45,102.32 is: 62,241.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,828.08 : 114,304.08 = 45,102.32 : x
  2. Step 2: Convert to fraction form
    82,828.08/114,304.08 = 45,102.32/x
  3. Step 3: Cross multiply
    82,828.08x = 114,304.08 × 45,102.32
  4. Step 4: Simplify right side
    82,828.08x = 5,155,379,193.47
  5. Step 5: Solve for x
    x = 5,155,379,193.47/82,828.08
  6. Step 6: Final answer
    x = 62,241.93

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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.