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Finding the Fourth Proportional to 46,152.12, 69,231.51 and 16,570.20

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Solution

The fourth proportional to 46,152.12, 69,231.51 and 16,570.20 is: 24,856.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,152.12 : 69,231.51 = 16,570.20 : x
  2. Step 2: Convert to fraction form
    46,152.12/69,231.51 = 16,570.20/x
  3. Step 3: Cross multiply
    46,152.12x = 69,231.51 × 16,570.20
  4. Step 4: Simplify right side
    46,152.12x = 1,147,179,967.00
  5. Step 5: Solve for x
    x = 1,147,179,967.00/46,152.12
  6. Step 6: Final answer
    x = 24,856.50

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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.