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Finding the Fourth Proportional to 56,369.12, 84,558.48 and 14,816

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Solution

The fourth proportional to 56,369.12, 84,558.48 and 14,816 is: 22,225.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,369.12 : 84,558.48 = 14,816 : x
  2. Step 2: Convert to fraction form
    56,369.12/84,558.48 = 14,816/x
  3. Step 3: Cross multiply
    56,369.12x = 84,558.48 × 14,816
  4. Step 4: Simplify right side
    56,369.12x = 1,252,818,439.68
  5. Step 5: Solve for x
    x = 1,252,818,439.68/56,369.12
  6. Step 6: Final answer
    x = 22,225.26

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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.