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Finding the Fourth Proportional to 60,580, 83,599.50 and 33,722.46

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Solution

The fourth proportional to 60,580, 83,599.50 and 33,722.46 is: 46,536.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,580 : 83,599.50 = 33,722.46 : x
  2. Step 2: Convert to fraction form
    60,580/83,599.50 = 33,722.46/x
  3. Step 3: Cross multiply
    60,580x = 83,599.50 × 33,722.46
  4. Step 4: Simplify right side
    60,580x = 2,819,180,794.77
  5. Step 5: Solve for x
    x = 2,819,180,794.77/60,580
  6. Step 6: Final answer
    x = 46,536.49

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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.