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Finding the Fourth Proportional to 30,701.10, 46,051.65 and 10,978.46

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Solution

The fourth proportional to 30,701.10, 46,051.65 and 10,978.46 is: 16,467.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,701.10 : 46,051.65 = 10,978.46 : x
  2. Step 2: Convert to fraction form
    30,701.10/46,051.65 = 10,978.46/x
  3. Step 3: Cross multiply
    30,701.10x = 46,051.65 × 10,978.46
  4. Step 4: Simplify right side
    30,701.10x = 505,576,054.88
  5. Step 5: Solve for x
    x = 505,576,054.88/30,701.10
  6. Step 6: Final answer
    x = 16,467.69

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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.