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Finding the Fourth Proportional to 53,141.73, 79,684.92 and 19,834.40

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Solution

The fourth proportional to 53,141.73, 79,684.92 and 19,834.40 is: 29,741.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,141.73 : 79,684.92 = 19,834.40 : x
  2. Step 2: Convert to fraction form
    53,141.73/79,684.92 = 19,834.40/x
  3. Step 3: Cross multiply
    53,141.73x = 79,684.92 × 19,834.40
  4. Step 4: Simplify right side
    53,141.73x = 1,580,502,702.08
  5. Step 5: Solve for x
    x = 1,580,502,702.08/53,141.73
  6. Step 6: Final answer
    x = 29,741.27

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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.