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Finding the Fourth Proportional to 52,453.98, 72,416.16 and 36,344.70

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Solution

The fourth proportional to 52,453.98, 72,416.16 and 36,344.70 is: 50,176.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,453.98 : 72,416.16 = 36,344.70 : x
  2. Step 2: Convert to fraction form
    52,453.98/72,416.16 = 36,344.70/x
  3. Step 3: Cross multiply
    52,453.98x = 72,416.16 × 36,344.70
  4. Step 4: Simplify right side
    52,453.98x = 2,631,943,610.35
  5. Step 5: Solve for x
    x = 2,631,943,610.35/52,453.98
  6. Step 6: Final answer
    x = 50,176.24

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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.