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Finding the Fourth Proportional to 61,657.74, 92,430 and 22,205.28

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Solution

The fourth proportional to 61,657.74, 92,430 and 22,205.28 is: 33,287.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,657.74 : 92,430 = 22,205.28 : x
  2. Step 2: Convert to fraction form
    61,657.74/92,430 = 22,205.28/x
  3. Step 3: Cross multiply
    61,657.74x = 92,430 × 22,205.28
  4. Step 4: Simplify right side
    61,657.74x = 2,052,434,030.40
  5. Step 5: Solve for x
    x = 2,052,434,030.40/61,657.74
  6. Step 6: Final answer
    x = 33,287.53

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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.