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Finding the Fourth Proportional to 53,394, 73,683.84 and 32,174.16

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Solution

The fourth proportional to 53,394, 73,683.84 and 32,174.16 is: 44,400.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,394 : 73,683.84 = 32,174.16 : x
  2. Step 2: Convert to fraction form
    53,394/73,683.84 = 32,174.16/x
  3. Step 3: Cross multiply
    53,394x = 73,683.84 × 32,174.16
  4. Step 4: Simplify right side
    53,394x = 2,370,715,657.57
  5. Step 5: Solve for x
    x = 2,370,715,657.57/53,394
  6. Step 6: Final answer
    x = 44,400.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.