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Finding the Fourth Proportional to 114,597.96, 171,893.14 and 47,127.66

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Solution

The fourth proportional to 114,597.96, 171,893.14 and 47,127.66 is: 70,689.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,597.96 : 171,893.14 = 47,127.66 : x
  2. Step 2: Convert to fraction form
    114,597.96/171,893.14 = 47,127.66/x
  3. Step 3: Cross multiply
    114,597.96x = 171,893.14 × 47,127.66
  4. Step 4: Simplify right side
    114,597.96x = 8,100,921,458.25
  5. Step 5: Solve for x
    x = 8,100,921,458.25/114,597.96
  6. Step 6: Final answer
    x = 70,689.93

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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.