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Finding the Fourth Proportional to 61,089.78, 91,499.31 and 46,945.74

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Solution

The fourth proportional to 61,089.78, 91,499.31 and 46,945.74 is: 70,314.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,089.78 : 91,499.31 = 46,945.74 : x
  2. Step 2: Convert to fraction form
    61,089.78/91,499.31 = 46,945.74/x
  3. Step 3: Cross multiply
    61,089.78x = 91,499.31 × 46,945.74
  4. Step 4: Simplify right side
    61,089.78x = 4,295,502,817.44
  5. Step 5: Solve for x
    x = 4,295,502,817.44/61,089.78
  6. Step 6: Final answer
    x = 70,314.59

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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.