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Finding the Fourth Proportional to 30,106, 45,169.86 and 16,051.24

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Solution

The fourth proportional to 30,106, 45,169.86 and 16,051.24 is: 24,082.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,106 : 45,169.86 = 16,051.24 : x
  2. Step 2: Convert to fraction form
    30,106/45,169.86 = 16,051.24/x
  3. Step 3: Cross multiply
    30,106x = 45,169.86 × 16,051.24
  4. Step 4: Simplify right side
    30,106x = 725,032,263.63
  5. Step 5: Solve for x
    x = 725,032,263.63/30,106
  6. Step 6: Final answer
    x = 24,082.65

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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.