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Finding the Fourth Proportional to 56,096.64, 84,127.68 and 19,152

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Solution

The fourth proportional to 56,096.64, 84,127.68 and 19,152 is: 28,722.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,096.64 : 84,127.68 = 19,152 : x
  2. Step 2: Convert to fraction form
    56,096.64/84,127.68 = 19,152/x
  3. Step 3: Cross multiply
    56,096.64x = 84,127.68 × 19,152
  4. Step 4: Simplify right side
    56,096.64x = 1,611,213,327.36
  5. Step 5: Solve for x
    x = 1,611,213,327.36/56,096.64
  6. Step 6: Final answer
    x = 28,722.10

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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.