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Finding the Fourth Proportional to 32,898.64, 49,347.50 and 7,938.48

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Solution

The fourth proportional to 32,898.64, 49,347.50 and 7,938.48 is: 11,907.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,898.64 : 49,347.50 = 7,938.48 : x
  2. Step 2: Convert to fraction form
    32,898.64/49,347.50 = 7,938.48/x
  3. Step 3: Cross multiply
    32,898.64x = 49,347.50 × 7,938.48
  4. Step 4: Simplify right side
    32,898.64x = 391,744,141.80
  5. Step 5: Solve for x
    x = 391,744,141.80/32,898.64
  6. Step 6: Final answer
    x = 11,907.61

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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.