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Finding the Fourth Proportional to 49,627, 74,452.64 and 24,678.80

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Solution

The fourth proportional to 49,627, 74,452.64 and 24,678.80 is: 37,024.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,627 : 74,452.64 = 24,678.80 : x
  2. Step 2: Convert to fraction form
    49,627/74,452.64 = 24,678.80/x
  3. Step 3: Cross multiply
    49,627x = 74,452.64 × 24,678.80
  4. Step 4: Simplify right side
    49,627x = 1,837,401,812.03
  5. Step 5: Solve for x
    x = 1,837,401,812.03/49,627
  6. Step 6: Final answer
    x = 37,024.24

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1.5x scale

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.