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Finding the Fourth Proportional to 32,895.77, 49,346.78 and 9,203.32

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Solution

The fourth proportional to 32,895.77, 49,346.78 and 9,203.32 is: 13,805.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,895.77 : 49,346.78 = 9,203.32 : x
  2. Step 2: Convert to fraction form
    32,895.77/49,346.78 = 9,203.32/x
  3. Step 3: Cross multiply
    32,895.77x = 49,346.78 × 9,203.32
  4. Step 4: Simplify right side
    32,895.77x = 454,154,207.31
  5. Step 5: Solve for x
    x = 454,154,207.31/32,895.77
  6. Step 6: Final answer
    x = 13,805.85

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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.