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Finding the Fourth Proportional to 32,893.74, 49,347.90 and 15,354

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Solution

The fourth proportional to 32,893.74, 49,347.90 and 15,354 is: 23,034.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,893.74 : 49,347.90 = 15,354 : x
  2. Step 2: Convert to fraction form
    32,893.74/49,347.90 = 15,354/x
  3. Step 3: Cross multiply
    32,893.74x = 49,347.90 × 15,354
  4. Step 4: Simplify right side
    32,893.74x = 757,687,656.60
  5. Step 5: Solve for x
    x = 757,687,656.60/32,893.74
  6. Step 6: Final answer
    x = 23,034.40

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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.