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Finding the Fourth Proportional to 114,969.36, 172,473.48 and 52,644.72

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Solution

The fourth proportional to 114,969.36, 172,473.48 and 52,644.72 is: 78,975.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,969.36 : 172,473.48 = 52,644.72 : x
  2. Step 2: Convert to fraction form
    114,969.36/172,473.48 = 52,644.72/x
  3. Step 3: Cross multiply
    114,969.36x = 172,473.48 × 52,644.72
  4. Step 4: Simplify right side
    114,969.36x = 9,079,818,062.03
  5. Step 5: Solve for x
    x = 9,079,818,062.03/114,969.36
  6. Step 6: Final answer
    x = 78,975.98

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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.