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Finding the Fourth Proportional to 62,781.76, 94,188 and 31,206.64

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Solution

The fourth proportional to 62,781.76, 94,188 and 31,206.64 is: 46,817.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,781.76 : 94,188 = 31,206.64 : x
  2. Step 2: Convert to fraction form
    62,781.76/94,188 = 31,206.64/x
  3. Step 3: Cross multiply
    62,781.76x = 94,188 × 31,206.64
  4. Step 4: Simplify right side
    62,781.76x = 2,939,291,008.32
  5. Step 5: Solve for x
    x = 2,939,291,008.32/62,781.76
  6. Step 6: Final answer
    x = 46,817.59

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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.