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Finding the Fourth Proportional to 39,156.37, 58,734.62 and 9,574.22

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Solution

The fourth proportional to 39,156.37, 58,734.62 and 9,574.22 is: 14,361.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,156.37 : 58,734.62 = 9,574.22 : x
  2. Step 2: Convert to fraction form
    39,156.37/58,734.62 = 9,574.22/x
  3. Step 3: Cross multiply
    39,156.37x = 58,734.62 × 9,574.22
  4. Step 4: Simplify right side
    39,156.37x = 562,338,173.50
  5. Step 5: Solve for x
    x = 562,338,173.50/39,156.37
  6. Step 6: Final answer
    x = 14,361.35

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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.