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Finding the Fourth Proportional to 114,958, 172,437 and 31,852

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Solution

The fourth proportional to 114,958, 172,437 and 31,852 is: 47,778

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,958 : 172,437 = 31,852 : x
  2. Step 2: Convert to fraction form
    114,958/172,437 = 31,852/x
  3. Step 3: Cross multiply
    114,958x = 172,437 × 31,852
  4. Step 4: Simplify right side
    114,958x = 5,492,463,324
  5. Step 5: Solve for x
    x = 5,492,463,324/114,958
  6. Step 6: Final answer
    x = 47,778

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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.