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Finding the Fourth Proportional to 32,955.66, 49,411.62 and 23,106.87

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Solution

The fourth proportional to 32,955.66, 49,411.62 and 23,106.87 is: 34,644.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,955.66 : 49,411.62 = 23,106.87 : x
  2. Step 2: Convert to fraction form
    32,955.66/49,411.62 = 23,106.87/x
  3. Step 3: Cross multiply
    32,955.66x = 49,411.62 × 23,106.87
  4. Step 4: Simplify right side
    32,955.66x = 1,141,747,879.83
  5. Step 5: Solve for x
    x = 1,141,747,879.83/32,955.66
  6. Step 6: Final answer
    x = 34,644.97

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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.