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Finding the Fourth Proportional to 55,635, 83,465.63 and 18,194.93

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Solution

The fourth proportional to 55,635, 83,465.63 and 18,194.93 is: 27,296.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,635 : 83,465.63 = 18,194.93 : x
  2. Step 2: Convert to fraction form
    55,635/83,465.63 = 18,194.93/x
  3. Step 3: Cross multiply
    55,635x = 83,465.63 × 18,194.93
  4. Step 4: Simplify right side
    55,635x = 1,518,651,295.26
  5. Step 5: Solve for x
    x = 1,518,651,295.26/55,635
  6. Step 6: Final answer
    x = 27,296.69

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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.