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Finding the Fourth Proportional to 114,398, 171,608.88 and 31,292

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Solution

The fourth proportional to 114,398, 171,608.88 and 31,292 is: 46,941.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,398 : 171,608.88 = 31,292 : x
  2. Step 2: Convert to fraction form
    114,398/171,608.88 = 31,292/x
  3. Step 3: Cross multiply
    114,398x = 171,608.88 × 31,292
  4. Step 4: Simplify right side
    114,398x = 5,369,985,072.96
  5. Step 5: Solve for x
    x = 5,369,985,072.96/114,398
  6. Step 6: Final answer
    x = 46,941.25

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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.