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Finding the Fourth Proportional to 31,204.80, 46,807.20 and 21,225.60

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Solution

The fourth proportional to 31,204.80, 46,807.20 and 21,225.60 is: 31,838.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,204.80 : 46,807.20 = 21,225.60 : x
  2. Step 2: Convert to fraction form
    31,204.80/46,807.20 = 21,225.60/x
  3. Step 3: Cross multiply
    31,204.80x = 46,807.20 × 21,225.60
  4. Step 4: Simplify right side
    31,204.80x = 993,510,904.32
  5. Step 5: Solve for x
    x = 993,510,904.32/31,204.80
  6. Step 6: Final answer
    x = 31,838.40

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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.