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Finding the Fourth Proportional to 30,159.89, 45,229.93 and 10,164.02

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Solution

The fourth proportional to 30,159.89, 45,229.93 and 10,164.02 is: 15,242.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,159.89 : 45,229.93 = 10,164.02 : x
  2. Step 2: Convert to fraction form
    30,159.89/45,229.93 = 10,164.02/x
  3. Step 3: Cross multiply
    30,159.89x = 45,229.93 × 10,164.02
  4. Step 4: Simplify right side
    30,159.89x = 459,717,661.56
  5. Step 5: Solve for x
    x = 459,717,661.56/30,159.89
  6. Step 6: Final answer
    x = 15,242.68

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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.