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Finding the Fourth Proportional to 56,446.74, 84,663.54 and 14,896.98

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Solution

The fourth proportional to 56,446.74, 84,663.54 and 14,896.98 is: 22,343.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,446.74 : 84,663.54 = 14,896.98 : x
  2. Step 2: Convert to fraction form
    56,446.74/84,663.54 = 14,896.98/x
  3. Step 3: Cross multiply
    56,446.74x = 84,663.54 × 14,896.98
  4. Step 4: Simplify right side
    56,446.74x = 1,261,231,062.11
  5. Step 5: Solve for x
    x = 1,261,231,062.11/56,446.74
  6. Step 6: Final answer
    x = 22,343.74

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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.