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Finding the Fourth Proportional to 52,404.36, 72,301.80 and 31,990.80

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Solution

The fourth proportional to 52,404.36, 72,301.80 and 31,990.80 is: 44,137.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,404.36 : 72,301.80 = 31,990.80 : x
  2. Step 2: Convert to fraction form
    52,404.36/72,301.80 = 31,990.80/x
  3. Step 3: Cross multiply
    52,404.36x = 72,301.80 × 31,990.80
  4. Step 4: Simplify right side
    52,404.36x = 2,312,992,423.44
  5. Step 5: Solve for x
    x = 2,312,992,423.44/52,404.36
  6. Step 6: Final answer
    x = 44,137.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.