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Finding the Fourth Proportional to 42,255, 63,404.37 and 21,478.50

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Solution

The fourth proportional to 42,255, 63,404.37 and 21,478.50 is: 32,228.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,255 : 63,404.37 = 21,478.50 : x
  2. Step 2: Convert to fraction form
    42,255/63,404.37 = 21,478.50/x
  3. Step 3: Cross multiply
    42,255x = 63,404.37 × 21,478.50
  4. Step 4: Simplify right side
    42,255x = 1,361,830,761.05
  5. Step 5: Solve for x
    x = 1,361,830,761.05/42,255
  6. Step 6: Final answer
    x = 32,228.87

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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.