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Finding the Fourth Proportional to 38,978.34, 58,466.70 and 15,598.50

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Solution

The fourth proportional to 38,978.34, 58,466.70 and 15,598.50 is: 23,397.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,978.34 : 58,466.70 = 15,598.50 : x
  2. Step 2: Convert to fraction form
    38,978.34/58,466.70 = 15,598.50/x
  3. Step 3: Cross multiply
    38,978.34x = 58,466.70 × 15,598.50
  4. Step 4: Simplify right side
    38,978.34x = 911,992,819.95
  5. Step 5: Solve for x
    x = 911,992,819.95/38,978.34
  6. Step 6: Final answer
    x = 23,397.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.