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Finding the Fourth Proportional to 30,102.81, 41,537.79 and 16,670.76

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Solution

The fourth proportional to 30,102.81, 41,537.79 and 16,670.76 is: 23,003.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,102.81 : 41,537.79 = 16,670.76 : x
  2. Step 2: Convert to fraction form
    30,102.81/41,537.79 = 16,670.76/x
  3. Step 3: Cross multiply
    30,102.81x = 41,537.79 × 16,670.76
  4. Step 4: Simplify right side
    30,102.81x = 692,466,528.02
  5. Step 5: Solve for x
    x = 692,466,528.02/30,102.81
  6. Step 6: Final answer
    x = 23,003.39

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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.