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Finding the Fourth Proportional to 77,583, 107,064.54 and 42,255

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Solution

The fourth proportional to 77,583, 107,064.54 and 42,255 is: 58,311.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,583 : 107,064.54 = 42,255 : x
  2. Step 2: Convert to fraction form
    77,583/107,064.54 = 42,255/x
  3. Step 3: Cross multiply
    77,583x = 107,064.54 × 42,255
  4. Step 4: Simplify right side
    77,583x = 4,524,012,137.70
  5. Step 5: Solve for x
    x = 4,524,012,137.70/77,583
  6. Step 6: Final answer
    x = 58,311.90

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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.