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Finding the Fourth Proportional to 60,193.20, 90,428.16 and 42,464.64

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Solution

The fourth proportional to 60,193.20, 90,428.16 and 42,464.64 is: 63,794.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,193.20 : 90,428.16 = 42,464.64 : x
  2. Step 2: Convert to fraction form
    60,193.20/90,428.16 = 42,464.64/x
  3. Step 3: Cross multiply
    60,193.20x = 90,428.16 × 42,464.64
  4. Step 4: Simplify right side
    60,193.20x = 3,839,999,260.26
  5. Step 5: Solve for x
    x = 3,839,999,260.26/60,193.20
  6. Step 6: Final answer
    x = 63,794.57

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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.