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Finding the Fourth Proportional to 114,009.40, 171,038.40 and 35,131.60

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Solution

The fourth proportional to 114,009.40, 171,038.40 and 35,131.60 is: 52,704.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,009.40 : 171,038.40 = 35,131.60 : x
  2. Step 2: Convert to fraction form
    114,009.40/171,038.40 = 35,131.60/x
  3. Step 3: Cross multiply
    114,009.40x = 171,038.40 × 35,131.60
  4. Step 4: Simplify right side
    114,009.40x = 6,008,852,653.44
  5. Step 5: Solve for x
    x = 6,008,852,653.44/114,009.40
  6. Step 6: Final answer
    x = 52,704.89

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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.