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Finding the Fourth Proportional to 69,580.98, 104,285.93 and 32,089

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Solution

The fourth proportional to 69,580.98, 104,285.93 and 32,089 is: 48,094.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,580.98 : 104,285.93 = 32,089 : x
  2. Step 2: Convert to fraction form
    69,580.98/104,285.93 = 32,089/x
  3. Step 3: Cross multiply
    69,580.98x = 104,285.93 × 32,089
  4. Step 4: Simplify right side
    69,580.98x = 3,346,431,207.77
  5. Step 5: Solve for x
    x = 3,346,431,207.77/69,580.98
  6. Step 6: Final answer
    x = 48,094.05

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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.