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Finding the Fourth Proportional to 52,898.96, 72,989.16 and 30,530

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Solution

The fourth proportional to 52,898.96, 72,989.16 and 30,530 is: 42,124.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,898.96 : 72,989.16 = 30,530 : x
  2. Step 2: Convert to fraction form
    52,898.96/72,989.16 = 30,530/x
  3. Step 3: Cross multiply
    52,898.96x = 72,989.16 × 30,530
  4. Step 4: Simplify right side
    52,898.96x = 2,228,359,054.80
  5. Step 5: Solve for x
    x = 2,228,359,054.80/52,898.96
  6. Step 6: Final answer
    x = 42,124.82

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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.