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Finding the Fourth Proportional to 31,280.80, 46,930.80 and 24,709.60

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Solution

The fourth proportional to 31,280.80, 46,930.80 and 24,709.60 is: 37,071.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,280.80 : 46,930.80 = 24,709.60 : x
  2. Step 2: Convert to fraction form
    31,280.80/46,930.80 = 24,709.60/x
  3. Step 3: Cross multiply
    31,280.80x = 46,930.80 × 24,709.60
  4. Step 4: Simplify right side
    31,280.80x = 1,159,641,295.68
  5. Step 5: Solve for x
    x = 1,159,641,295.68/31,280.80
  6. Step 6: Final answer
    x = 37,071.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.