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Finding the Fourth Proportional to 38,798.20, 58,202.70 and 15,419.20

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Solution

The fourth proportional to 38,798.20, 58,202.70 and 15,419.20 is: 23,130.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,798.20 : 58,202.70 = 15,419.20 : x
  2. Step 2: Convert to fraction form
    38,798.20/58,202.70 = 15,419.20/x
  3. Step 3: Cross multiply
    38,798.20x = 58,202.70 × 15,419.20
  4. Step 4: Simplify right side
    38,798.20x = 897,439,071.84
  5. Step 5: Solve for x
    x = 897,439,071.84/38,798.20
  6. Step 6: Final answer
    x = 23,130.95

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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.