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Finding the Fourth Proportional to 61,189.83, 91,784.70 and 16,816.77

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Solution

The fourth proportional to 61,189.83, 91,784.70 and 16,816.77 is: 25,225.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,189.83 : 91,784.70 = 16,816.77 : x
  2. Step 2: Convert to fraction form
    61,189.83/91,784.70 = 16,816.77/x
  3. Step 3: Cross multiply
    61,189.83x = 91,784.70 × 16,816.77
  4. Step 4: Simplify right side
    61,189.83x = 1,543,522,189.42
  5. Step 5: Solve for x
    x = 1,543,522,189.42/61,189.83
  6. Step 6: Final answer
    x = 25,225.14

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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.