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Finding the Fourth Proportional to 106,316.40, 159,474.60 and 47,089.20

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Solution

The fourth proportional to 106,316.40, 159,474.60 and 47,089.20 is: 70,633.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,316.40 : 159,474.60 = 47,089.20 : x
  2. Step 2: Convert to fraction form
    106,316.40/159,474.60 = 47,089.20/x
  3. Step 3: Cross multiply
    106,316.40x = 159,474.60 × 47,089.20
  4. Step 4: Simplify right side
    106,316.40x = 7,509,531,334.32
  5. Step 5: Solve for x
    x = 7,509,531,334.32/106,316.40
  6. Step 6: Final answer
    x = 70,633.80

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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.