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Finding the Fourth Proportional to 102,052.40, 153,078.92 and 30,975.60

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Solution

The fourth proportional to 102,052.40, 153,078.92 and 30,975.60 is: 46,463.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,052.40 : 153,078.92 = 30,975.60 : x
  2. Step 2: Convert to fraction form
    102,052.40/153,078.92 = 30,975.60/x
  3. Step 3: Cross multiply
    102,052.40x = 153,078.92 × 30,975.60
  4. Step 4: Simplify right side
    102,052.40x = 4,741,711,394.35
  5. Step 5: Solve for x
    x = 4,741,711,394.35/102,052.40
  6. Step 6: Final answer
    x = 46,463.50

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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.