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Finding the Fourth Proportional to 43,096, 64,612.32 and 16,437.28

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Solution

The fourth proportional to 43,096, 64,612.32 and 16,437.28 is: 24,643.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,096 : 64,612.32 = 16,437.28 : x
  2. Step 2: Convert to fraction form
    43,096/64,612.32 = 16,437.28/x
  3. Step 3: Cross multiply
    43,096x = 64,612.32 × 16,437.28
  4. Step 4: Simplify right side
    43,096x = 1,062,050,795.29
  5. Step 5: Solve for x
    x = 1,062,050,795.29/43,096
  6. Step 6: Final answer
    x = 24,643.84

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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.