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Finding the Fourth Proportional to 32,894.77, 49,345.28 and 9,202.32

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Solution

The fourth proportional to 32,894.77, 49,345.28 and 9,202.32 is: 13,804.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,894.77 : 49,345.28 = 9,202.32 : x
  2. Step 2: Convert to fraction form
    32,894.77/49,345.28 = 9,202.32/x
  3. Step 3: Cross multiply
    32,894.77x = 49,345.28 × 9,202.32
  4. Step 4: Simplify right side
    32,894.77x = 454,090,880.88
  5. Step 5: Solve for x
    x = 454,090,880.88/32,894.77
  6. Step 6: Final answer
    x = 13,804.35

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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.