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Finding the Fourth Proportional to 82,815.84, 114,285.36 and 45,089.76

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Solution

The fourth proportional to 82,815.84, 114,285.36 and 45,089.76 is: 62,223.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,815.84 : 114,285.36 = 45,089.76 : x
  2. Step 2: Convert to fraction form
    82,815.84/114,285.36 = 45,089.76/x
  3. Step 3: Cross multiply
    82,815.84x = 114,285.36 × 45,089.76
  4. Step 4: Simplify right side
    82,815.84x = 5,153,099,453.91
  5. Step 5: Solve for x
    x = 5,153,099,453.91/82,815.84
  6. Step 6: Final answer
    x = 62,223.60

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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.