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Finding the Fourth Proportional to 35,414.50, 53,050.52 and 16,412.52

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Solution

The fourth proportional to 35,414.50, 53,050.52 and 16,412.52 is: 24,585.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,414.50 : 53,050.52 = 16,412.52 : x
  2. Step 2: Convert to fraction form
    35,414.50/53,050.52 = 16,412.52/x
  3. Step 3: Cross multiply
    35,414.50x = 53,050.52 × 16,412.52
  4. Step 4: Simplify right side
    35,414.50x = 870,692,720.51
  5. Step 5: Solve for x
    x = 870,692,720.51/35,414.50
  6. Step 6: Final answer
    x = 24,585.77

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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.