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Finding the Fourth Proportional to 35,077, 52,624.62 and 10,453

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Solution

The fourth proportional to 35,077, 52,624.62 and 10,453 is: 15,682.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,077 : 52,624.62 = 10,453 : x
  2. Step 2: Convert to fraction form
    35,077/52,624.62 = 10,453/x
  3. Step 3: Cross multiply
    35,077x = 52,624.62 × 10,453
  4. Step 4: Simplify right side
    35,077x = 550,085,152.86
  5. Step 5: Solve for x
    x = 550,085,152.86/35,077
  6. Step 6: Final answer
    x = 15,682.22

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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.