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Finding the Fourth Proportional to 81,670.34, 112,723.44 and 53,359.76

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Solution

The fourth proportional to 81,670.34, 112,723.44 and 53,359.76 is: 73,648.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,670.34 : 112,723.44 = 53,359.76 : x
  2. Step 2: Convert to fraction form
    81,670.34/112,723.44 = 53,359.76/x
  3. Step 3: Cross multiply
    81,670.34x = 112,723.44 × 53,359.76
  4. Step 4: Simplify right side
    81,670.34x = 6,014,895,704.77
  5. Step 5: Solve for x
    x = 6,014,895,704.77/81,670.34
  6. Step 6: Final answer
    x = 73,648.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.