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Finding the Fourth Proportional to 82,814.52, 114,284.30 and 45,089

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Solution

The fourth proportional to 82,814.52, 114,284.30 and 45,089 is: 62,222.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,814.52 : 114,284.30 = 45,089 : x
  2. Step 2: Convert to fraction form
    82,814.52/114,284.30 = 45,089/x
  3. Step 3: Cross multiply
    82,814.52x = 114,284.30 × 45,089
  4. Step 4: Simplify right side
    82,814.52x = 5,152,964,802.70
  5. Step 5: Solve for x
    x = 5,152,964,802.70/82,814.52
  6. Step 6: Final answer
    x = 62,222.96

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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.