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Finding the Fourth Proportional to 38,115, 52,598.70 and 23,211

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Solution

The fourth proportional to 38,115, 52,598.70 and 23,211 is: 32,031.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,115 : 52,598.70 = 23,211 : x
  2. Step 2: Convert to fraction form
    38,115/52,598.70 = 23,211/x
  3. Step 3: Cross multiply
    38,115x = 52,598.70 × 23,211
  4. Step 4: Simplify right side
    38,115x = 1,220,868,425.70
  5. Step 5: Solve for x
    x = 1,220,868,425.70/38,115
  6. Step 6: Final answer
    x = 32,031.18

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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.