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Finding the Fourth Proportional to 61,294.50, 91,941.75 and 19,741.50

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Solution

The fourth proportional to 61,294.50, 91,941.75 and 19,741.50 is: 29,612.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,294.50 : 91,941.75 = 19,741.50 : x
  2. Step 2: Convert to fraction form
    61,294.50/91,941.75 = 19,741.50/x
  3. Step 3: Cross multiply
    61,294.50x = 91,941.75 × 19,741.50
  4. Step 4: Simplify right side
    61,294.50x = 1,815,068,057.63
  5. Step 5: Solve for x
    x = 1,815,068,057.63/61,294.50
  6. Step 6: Final answer
    x = 29,612.25

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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.