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Finding the Fourth Proportional to 32,916.80, 49,386.72 and 9,544.64

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Solution

The fourth proportional to 32,916.80, 49,386.72 and 9,544.64 is: 14,320.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,916.80 : 49,386.72 = 9,544.64 : x
  2. Step 2: Convert to fraction form
    32,916.80/49,386.72 = 9,544.64/x
  3. Step 3: Cross multiply
    32,916.80x = 49,386.72 × 9,544.64
  4. Step 4: Simplify right side
    32,916.80x = 471,378,463.18
  5. Step 5: Solve for x
    x = 471,378,463.18/32,916.80
  6. Step 6: Final answer
    x = 14,320.30

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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.