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Finding the Fourth Proportional to 52,453, 72,385.86 and 30,097

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Solution

The fourth proportional to 52,453, 72,385.86 and 30,097 is: 41,534.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,453 : 72,385.86 = 30,097 : x
  2. Step 2: Convert to fraction form
    52,453/72,385.86 = 30,097/x
  3. Step 3: Cross multiply
    52,453x = 72,385.86 × 30,097
  4. Step 4: Simplify right side
    52,453x = 2,178,597,228.42
  5. Step 5: Solve for x
    x = 2,178,597,228.42/52,453
  6. Step 6: Final answer
    x = 41,534.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.