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Finding the Fourth Proportional to 114,005.89, 171,008.84 and 30,899.89

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Solution

The fourth proportional to 114,005.89, 171,008.84 and 30,899.89 is: 46,349.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,005.89 : 171,008.84 = 30,899.89 : x
  2. Step 2: Convert to fraction form
    114,005.89/171,008.84 = 30,899.89/x
  3. Step 3: Cross multiply
    114,005.89x = 171,008.84 × 30,899.89
  4. Step 4: Simplify right side
    114,005.89x = 5,284,154,345.03
  5. Step 5: Solve for x
    x = 5,284,154,345.03/114,005.89
  6. Step 6: Final answer
    x = 46,349.84

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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.