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Finding the Fourth Proportional to 53,411.60, 80,002.20 and 47,574.80

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Solution

The fourth proportional to 53,411.60, 80,002.20 and 47,574.80 is: 71,259.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,411.60 : 80,002.20 = 47,574.80 : x
  2. Step 2: Convert to fraction form
    53,411.60/80,002.20 = 47,574.80/x
  3. Step 3: Cross multiply
    53,411.60x = 80,002.20 × 47,574.80
  4. Step 4: Simplify right side
    53,411.60x = 3,806,088,664.56
  5. Step 5: Solve for x
    x = 3,806,088,664.56/53,411.60
  6. Step 6: Final answer
    x = 71,259.59

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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.