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Finding the Fourth Proportional to 31,000.44, 46,503.72 and 9,935.18

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Solution

The fourth proportional to 31,000.44, 46,503.72 and 9,935.18 is: 14,903.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,000.44 : 46,503.72 = 9,935.18 : x
  2. Step 2: Convert to fraction form
    31,000.44/46,503.72 = 9,935.18/x
  3. Step 3: Cross multiply
    31,000.44x = 46,503.72 × 9,935.18
  4. Step 4: Simplify right side
    31,000.44x = 462,022,596.35
  5. Step 5: Solve for x
    x = 462,022,596.35/31,000.44
  6. Step 6: Final answer
    x = 14,903.74

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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.