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Finding the Fourth Proportional to 53,683.34, 80,534.91 and 17,661.82

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Solution

The fourth proportional to 53,683.34, 80,534.91 and 17,661.82 is: 26,495.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,683.34 : 80,534.91 = 17,661.82 : x
  2. Step 2: Convert to fraction form
    53,683.34/80,534.91 = 17,661.82/x
  3. Step 3: Cross multiply
    53,683.34x = 80,534.91 × 17,661.82
  4. Step 4: Simplify right side
    53,683.34x = 1,422,393,130.50
  5. Step 5: Solve for x
    x = 1,422,393,130.50/53,683.34
  6. Step 6: Final answer
    x = 26,495.99

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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.