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Finding the Fourth Proportional to 90,601.40, 135,902.10 and 31,430.90

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Solution

The fourth proportional to 90,601.40, 135,902.10 and 31,430.90 is: 47,146.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,601.40 : 135,902.10 = 31,430.90 : x
  2. Step 2: Convert to fraction form
    90,601.40/135,902.10 = 31,430.90/x
  3. Step 3: Cross multiply
    90,601.40x = 135,902.10 × 31,430.90
  4. Step 4: Simplify right side
    90,601.40x = 4,271,525,314.89
  5. Step 5: Solve for x
    x = 4,271,525,314.89/90,601.40
  6. Step 6: Final answer
    x = 47,146.35

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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.