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Finding the Fourth Proportional to 30,913.37, 46,373.74 and 9,846.02

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Solution

The fourth proportional to 30,913.37, 46,373.74 and 9,846.02 is: 14,770.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,913.37 : 46,373.74 = 9,846.02 : x
  2. Step 2: Convert to fraction form
    30,913.37/46,373.74 = 9,846.02/x
  3. Step 3: Cross multiply
    30,913.37x = 46,373.74 × 9,846.02
  4. Step 4: Simplify right side
    30,913.37x = 456,596,515.03
  5. Step 5: Solve for x
    x = 456,596,515.03/30,913.37
  6. Step 6: Final answer
    x = 14,770.19

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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.