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Finding the Fourth Proportional to 73,970.96, 110,971 and 24,047.82

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Solution

The fourth proportional to 73,970.96, 110,971 and 24,047.82 is: 36,076.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,970.96 : 110,971 = 24,047.82 : x
  2. Step 2: Convert to fraction form
    73,970.96/110,971 = 24,047.82/x
  3. Step 3: Cross multiply
    73,970.96x = 110,971 × 24,047.82
  4. Step 4: Simplify right side
    73,970.96x = 2,668,610,633.22
  5. Step 5: Solve for x
    x = 2,668,610,633.22/73,970.96
  6. Step 6: Final answer
    x = 36,076.46

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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.