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Finding the Fourth Proportional to 107,054.36, 160,590.72 and 28,169

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Solution

The fourth proportional to 107,054.36, 160,590.72 and 28,169 is: 42,255.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,054.36 : 160,590.72 = 28,169 : x
  2. Step 2: Convert to fraction form
    107,054.36/160,590.72 = 28,169/x
  3. Step 3: Cross multiply
    107,054.36x = 160,590.72 × 28,169
  4. Step 4: Simplify right side
    107,054.36x = 4,523,679,991.68
  5. Step 5: Solve for x
    x = 4,523,679,991.68/107,054.36
  6. Step 6: Final answer
    x = 42,255.92

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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.