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Finding the Fourth Proportional to 114,928.08, 172,395 and 31,822.80

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Solution

The fourth proportional to 114,928.08, 172,395 and 31,822.80 is: 47,735.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,928.08 : 172,395 = 31,822.80 : x
  2. Step 2: Convert to fraction form
    114,928.08/172,395 = 31,822.80/x
  3. Step 3: Cross multiply
    114,928.08x = 172,395 × 31,822.80
  4. Step 4: Simplify right side
    114,928.08x = 5,486,091,606
  5. Step 5: Solve for x
    x = 5,486,091,606/114,928.08
  6. Step 6: Final answer
    x = 47,735.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.