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Finding the Fourth Proportional to 50,851.98, 70,153.65 and 30,697.38

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Solution

The fourth proportional to 50,851.98, 70,153.65 and 30,697.38 is: 42,349.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,851.98 : 70,153.65 = 30,697.38 : x
  2. Step 2: Convert to fraction form
    50,851.98/70,153.65 = 30,697.38/x
  3. Step 3: Cross multiply
    50,851.98x = 70,153.65 × 30,697.38
  4. Step 4: Simplify right side
    50,851.98x = 2,153,533,252.44
  5. Step 5: Solve for x
    x = 2,153,533,252.44/50,851.98
  6. Step 6: Final answer
    x = 42,349.05

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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.