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Finding the Fourth Proportional to 64,639, 89,202.90 and 42,283

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Solution

The fourth proportional to 64,639, 89,202.90 and 42,283 is: 58,351.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,639 : 89,202.90 = 42,283 : x
  2. Step 2: Convert to fraction form
    64,639/89,202.90 = 42,283/x
  3. Step 3: Cross multiply
    64,639x = 89,202.90 × 42,283
  4. Step 4: Simplify right side
    64,639x = 3,771,766,220.70
  5. Step 5: Solve for x
    x = 3,771,766,220.70/64,639
  6. Step 6: Final answer
    x = 58,351.25

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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.