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Finding the Fourth Proportional to 82,789.84, 114,252.06 and 45,064

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Solution

The fourth proportional to 82,789.84, 114,252.06 and 45,064 is: 62,189.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,789.84 : 114,252.06 = 45,064 : x
  2. Step 2: Convert to fraction form
    82,789.84/114,252.06 = 45,064/x
  3. Step 3: Cross multiply
    82,789.84x = 114,252.06 × 45,064
  4. Step 4: Simplify right side
    82,789.84x = 5,148,654,831.84
  5. Step 5: Solve for x
    x = 5,148,654,831.84/82,789.84
  6. Step 6: Final answer
    x = 62,189.45

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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.