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Finding the Fourth Proportional to 53,802.97, 80,703.80 and 24,199.90

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Solution

The fourth proportional to 53,802.97, 80,703.80 and 24,199.90 is: 36,299.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,802.97 : 80,703.80 = 24,199.90 : x
  2. Step 2: Convert to fraction form
    53,802.97/80,703.80 = 24,199.90/x
  3. Step 3: Cross multiply
    53,802.97x = 80,703.80 × 24,199.90
  4. Step 4: Simplify right side
    53,802.97x = 1,953,023,889.62
  5. Step 5: Solve for x
    x = 1,953,023,889.62/53,802.97
  6. Step 6: Final answer
    x = 36,299.56

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1.5x scale

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.