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Finding the Fourth Proportional to 52,483.20, 78,674.40 and 17,404.80

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Solution

The fourth proportional to 52,483.20, 78,674.40 and 17,404.80 is: 26,090.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,483.20 : 78,674.40 = 17,404.80 : x
  2. Step 2: Convert to fraction form
    52,483.20/78,674.40 = 17,404.80/x
  3. Step 3: Cross multiply
    52,483.20x = 78,674.40 × 17,404.80
  4. Step 4: Simplify right side
    52,483.20x = 1,369,312,197.12
  5. Step 5: Solve for x
    x = 1,369,312,197.12/52,483.20
  6. Step 6: Final answer
    x = 26,090.49

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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.