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Finding the Fourth Proportional to 52,283.69, 72,153.23 and 30,769.53

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Solution

The fourth proportional to 52,283.69, 72,153.23 and 30,769.53 is: 42,462.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,283.69 : 72,153.23 = 30,769.53 : x
  2. Step 2: Convert to fraction form
    52,283.69/72,153.23 = 30,769.53/x
  3. Step 3: Cross multiply
    52,283.69x = 72,153.23 × 30,769.53
  4. Step 4: Simplify right side
    52,283.69x = 2,220,120,821.23
  5. Step 5: Solve for x
    x = 2,220,120,821.23/52,283.69
  6. Step 6: Final answer
    x = 42,462.98

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