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Finding the Fourth Proportional to 56,001, 84,003.12 and 14,448

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Solution

The fourth proportional to 56,001, 84,003.12 and 14,448 is: 21,672.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,001 : 84,003.12 = 14,448 : x
  2. Step 2: Convert to fraction form
    56,001/84,003.12 = 14,448/x
  3. Step 3: Cross multiply
    56,001x = 84,003.12 × 14,448
  4. Step 4: Simplify right side
    56,001x = 1,213,677,077.76
  5. Step 5: Solve for x
    x = 1,213,677,077.76/56,001
  6. Step 6: Final answer
    x = 21,672.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.