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Finding the Fourth Proportional to 31,622.40, 47,409.60 and 16,051.20

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Solution

The fourth proportional to 31,622.40, 47,409.60 and 16,051.20 is: 24,064.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,622.40 : 47,409.60 = 16,051.20 : x
  2. Step 2: Convert to fraction form
    31,622.40/47,409.60 = 16,051.20/x
  3. Step 3: Cross multiply
    31,622.40x = 47,409.60 × 16,051.20
  4. Step 4: Simplify right side
    31,622.40x = 760,980,971.52
  5. Step 5: Solve for x
    x = 760,980,971.52/31,622.40
  6. Step 6: Final answer
    x = 24,064.62

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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.