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Finding the Fourth Proportional to 82,812.78, 114,265.89 and 52,603.02

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Solution

The fourth proportional to 82,812.78, 114,265.89 and 52,603.02 is: 72,582.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,812.78 : 114,265.89 = 52,603.02 : x
  2. Step 2: Convert to fraction form
    82,812.78/114,265.89 = 52,603.02/x
  3. Step 3: Cross multiply
    82,812.78x = 114,265.89 × 52,603.02
  4. Step 4: Simplify right side
    82,812.78x = 6,010,730,896.99
  5. Step 5: Solve for x
    x = 6,010,730,896.99/82,812.78
  6. Step 6: Final answer
    x = 72,582.17

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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.