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Finding the Fourth Proportional to 53,797.68, 80,701.20 and 14,355

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Solution

The fourth proportional to 53,797.68, 80,701.20 and 14,355 is: 21,533.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,797.68 : 80,701.20 = 14,355 : x
  2. Step 2: Convert to fraction form
    53,797.68/80,701.20 = 14,355/x
  3. Step 3: Cross multiply
    53,797.68x = 80,701.20 × 14,355
  4. Step 4: Simplify right side
    53,797.68x = 1,158,465,726
  5. Step 5: Solve for x
    x = 1,158,465,726/53,797.68
  6. Step 6: Final answer
    x = 21,533.75

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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.