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Finding the Fourth Proportional to 50,242.95, 75,362.58 and 20,270.16

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Solution

The fourth proportional to 50,242.95, 75,362.58 and 20,270.16 is: 30,404.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,242.95 : 75,362.58 = 20,270.16 : x
  2. Step 2: Convert to fraction form
    50,242.95/75,362.58 = 20,270.16/x
  3. Step 3: Cross multiply
    50,242.95x = 75,362.58 × 20,270.16
  4. Step 4: Simplify right side
    50,242.95x = 1,527,611,554.61
  5. Step 5: Solve for x
    x = 1,527,611,554.61/50,242.95
  6. Step 6: Final answer
    x = 30,404.50

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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.