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Finding the Fourth Proportional to 114,840.49, 172,263.98 and 31,734.49

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Solution

The fourth proportional to 114,840.49, 172,263.98 and 31,734.49 is: 47,602.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,840.49 : 172,263.98 = 31,734.49 : x
  2. Step 2: Convert to fraction form
    114,840.49/172,263.98 = 31,734.49/x
  3. Step 3: Cross multiply
    114,840.49x = 172,263.98 × 31,734.49
  4. Step 4: Simplify right side
    114,840.49x = 5,466,709,392.00
  5. Step 5: Solve for x
    x = 5,466,709,392.00/114,840.49
  6. Step 6: Final answer
    x = 47,602.63

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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.