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Finding the Fourth Proportional to 32,956.64, 49,443.06 and 9,583.28

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Solution

The fourth proportional to 32,956.64, 49,443.06 and 9,583.28 is: 14,377.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,956.64 : 49,443.06 = 9,583.28 : x
  2. Step 2: Convert to fraction form
    32,956.64/49,443.06 = 9,583.28/x
  3. Step 3: Cross multiply
    32,956.64x = 49,443.06 × 9,583.28
  4. Step 4: Simplify right side
    32,956.64x = 473,826,688.04
  5. Step 5: Solve for x
    x = 473,826,688.04/32,956.64
  6. Step 6: Final answer
    x = 14,377.28

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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.