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Finding the Fourth Proportional to 114,259.61, 171,405.37 and 47,684.49

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Solution

The fourth proportional to 114,259.61, 171,405.37 and 47,684.49 is: 71,533.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,259.61 : 171,405.37 = 47,684.49 : x
  2. Step 2: Convert to fraction form
    114,259.61/171,405.37 = 47,684.49/x
  3. Step 3: Cross multiply
    114,259.61x = 171,405.37 × 47,684.49
  4. Step 4: Simplify right side
    114,259.61x = 8,173,377,651.71
  5. Step 5: Solve for x
    x = 8,173,377,651.71/114,259.61
  6. Step 6: Final answer
    x = 71,533.39

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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.