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Finding the Fourth Proportional to 102,523.51, 153,771.75 and 30,474.89

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Solution

The fourth proportional to 102,523.51, 153,771.75 and 30,474.89 is: 45,708.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,523.51 : 153,771.75 = 30,474.89 : x
  2. Step 2: Convert to fraction form
    102,523.51/153,771.75 = 30,474.89/x
  3. Step 3: Cross multiply
    102,523.51x = 153,771.75 × 30,474.89
  4. Step 4: Simplify right side
    102,523.51x = 4,686,176,397.50
  5. Step 5: Solve for x
    x = 4,686,176,397.50/102,523.51
  6. Step 6: Final answer
    x = 45,708.31

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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.