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Finding the Fourth Proportional to 114,534.76, 171,617.44 and 61,969

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Solution

The fourth proportional to 114,534.76, 171,617.44 and 61,969 is: 92,853.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,534.76 : 171,617.44 = 61,969 : x
  2. Step 2: Convert to fraction form
    114,534.76/171,617.44 = 61,969/x
  3. Step 3: Cross multiply
    114,534.76x = 171,617.44 × 61,969
  4. Step 4: Simplify right side
    114,534.76x = 10,634,961,139.36
  5. Step 5: Solve for x
    x = 10,634,961,139.36/114,534.76
  6. Step 6: Final answer
    x = 92,853.57

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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.