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Finding the Fourth Proportional to 53,496.90, 80,208.90 and 25,430.40

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Solution

The fourth proportional to 53,496.90, 80,208.90 and 25,430.40 is: 38,128.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,496.90 : 80,208.90 = 25,430.40 : x
  2. Step 2: Convert to fraction form
    53,496.90/80,208.90 = 25,430.40/x
  3. Step 3: Cross multiply
    53,496.90x = 80,208.90 × 25,430.40
  4. Step 4: Simplify right side
    53,496.90x = 2,039,744,410.56
  5. Step 5: Solve for x
    x = 2,039,744,410.56/53,496.90
  6. Step 6: Final answer
    x = 38,128.27

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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.