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Finding the Fourth Proportional to 37,354, 51,551.76 and 20,590.24

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Solution

The fourth proportional to 37,354, 51,551.76 and 20,590.24 is: 28,416.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,354 : 51,551.76 = 20,590.24 : x
  2. Step 2: Convert to fraction form
    37,354/51,551.76 = 20,590.24/x
  3. Step 3: Cross multiply
    37,354x = 51,551.76 × 20,590.24
  4. Step 4: Simplify right side
    37,354x = 1,061,463,110.82
  5. Step 5: Solve for x
    x = 1,061,463,110.82/37,354
  6. Step 6: Final answer
    x = 28,416.32

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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.