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Finding the Fourth Proportional to 56,452, 84,675.28 and 14,333.28

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Solution

The fourth proportional to 56,452, 84,675.28 and 14,333.28 is: 21,499.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,452 : 84,675.28 = 14,333.28 : x
  2. Step 2: Convert to fraction form
    56,452/84,675.28 = 14,333.28/x
  3. Step 3: Cross multiply
    56,452x = 84,675.28 × 14,333.28
  4. Step 4: Simplify right side
    56,452x = 1,213,674,497.32
  5. Step 5: Solve for x
    x = 1,213,674,497.32/56,452
  6. Step 6: Final answer
    x = 21,499.23

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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.