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Finding the Fourth Proportional to 46,432.88, 69,525.72 and 31,670.96

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Solution

The fourth proportional to 46,432.88, 69,525.72 and 31,670.96 is: 47,422.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,432.88 : 69,525.72 = 31,670.96 : x
  2. Step 2: Convert to fraction form
    46,432.88/69,525.72 = 31,670.96/x
  3. Step 3: Cross multiply
    46,432.88x = 69,525.72 × 31,670.96
  4. Step 4: Simplify right side
    46,432.88x = 2,201,946,297.09
  5. Step 5: Solve for x
    x = 2,201,946,297.09/46,432.88
  6. Step 6: Final answer
    x = 47,422.13

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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.