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Finding the Fourth Proportional to 104,895, 157,369.14 and 31,023

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Solution

The fourth proportional to 104,895, 157,369.14 and 31,023 is: 46,542.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,895 : 157,369.14 = 31,023 : x
  2. Step 2: Convert to fraction form
    104,895/157,369.14 = 31,023/x
  3. Step 3: Cross multiply
    104,895x = 157,369.14 × 31,023
  4. Step 4: Simplify right side
    104,895x = 4,882,062,830.22
  5. Step 5: Solve for x
    x = 4,882,062,830.22/104,895
  6. Step 6: Final answer
    x = 46,542.38

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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.