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Finding the Fourth Proportional to 77,325.84, 106,704.61 and 45,488.59

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Solution

The fourth proportional to 77,325.84, 106,704.61 and 45,488.59 is: 62,771.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,325.84 : 106,704.61 = 45,488.59 : x
  2. Step 2: Convert to fraction form
    77,325.84/106,704.61 = 45,488.59/x
  3. Step 3: Cross multiply
    77,325.84x = 106,704.61 × 45,488.59
  4. Step 4: Simplify right side
    77,325.84x = 4,853,841,874.92
  5. Step 5: Solve for x
    x = 4,853,841,874.92/77,325.84
  6. Step 6: Final answer
    x = 62,771.28

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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.