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Finding the Fourth Proportional to 114,390.34, 171,583.08 and 31,284.34

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Solution

The fourth proportional to 114,390.34, 171,583.08 and 31,284.34 is: 46,925.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,390.34 : 171,583.08 = 31,284.34 : x
  2. Step 2: Convert to fraction form
    114,390.34/171,583.08 = 31,284.34/x
  3. Step 3: Cross multiply
    114,390.34x = 171,583.08 × 31,284.34
  4. Step 4: Simplify right side
    114,390.34x = 5,367,863,412.97
  5. Step 5: Solve for x
    x = 5,367,863,412.97/114,390.34
  6. Step 6: Final answer
    x = 46,925.85

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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.