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Finding the Fourth Proportional to 53,734.04, 80,580 and 31,553

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Solution

The fourth proportional to 53,734.04, 80,580 and 31,553 is: 47,317.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,734.04 : 80,580 = 31,553 : x
  2. Step 2: Convert to fraction form
    53,734.04/80,580 = 31,553/x
  3. Step 3: Cross multiply
    53,734.04x = 80,580 × 31,553
  4. Step 4: Simplify right side
    53,734.04x = 2,542,540,740
  5. Step 5: Solve for x
    x = 2,542,540,740/53,734.04
  6. Step 6: Final answer
    x = 47,317.13

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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.