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Finding the Fourth Proportional to 114,362.12, 171,484.68 and 47,784.08

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Solution

The fourth proportional to 114,362.12, 171,484.68 and 47,784.08 is: 71,651.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,362.12 : 171,484.68 = 47,784.08 : x
  2. Step 2: Convert to fraction form
    114,362.12/171,484.68 = 47,784.08/x
  3. Step 3: Cross multiply
    114,362.12x = 171,484.68 × 47,784.08
  4. Step 4: Simplify right side
    114,362.12x = 8,194,237,667.89
  5. Step 5: Solve for x
    x = 8,194,237,667.89/114,362.12
  6. Step 6: Final answer
    x = 71,651.68

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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.