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Finding the Fourth Proportional to 38,085, 52,657.62 and 33,355.72

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Solution

The fourth proportional to 38,085, 52,657.62 and 33,355.72 is: 46,118.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,085 : 52,657.62 = 33,355.72 : x
  2. Step 2: Convert to fraction form
    38,085/52,657.62 = 33,355.72/x
  3. Step 3: Cross multiply
    38,085x = 52,657.62 × 33,355.72
  4. Step 4: Simplify right side
    38,085x = 1,756,432,828.59
  5. Step 5: Solve for x
    x = 1,756,432,828.59/38,085
  6. Step 6: Final answer
    x = 46,118.76

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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.