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Finding the Fourth Proportional to 58,135.84, 80,206.77 and 38,004.28

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Solution

The fourth proportional to 58,135.84, 80,206.77 and 38,004.28 is: 52,432.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,135.84 : 80,206.77 = 38,004.28 : x
  2. Step 2: Convert to fraction form
    58,135.84/80,206.77 = 38,004.28/x
  3. Step 3: Cross multiply
    58,135.84x = 80,206.77 × 38,004.28
  4. Step 4: Simplify right side
    58,135.84x = 3,048,200,544.98
  5. Step 5: Solve for x
    x = 3,048,200,544.98/58,135.84
  6. Step 6: Final answer
    x = 52,432.38

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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.