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Finding the Fourth Proportional to 30,102.79, 41,541.38 and 16,490.72

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Solution

The fourth proportional to 30,102.79, 41,541.38 and 16,490.72 is: 22,756.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,102.79 : 41,541.38 = 16,490.72 : x
  2. Step 2: Convert to fraction form
    30,102.79/41,541.38 = 16,490.72/x
  3. Step 3: Cross multiply
    30,102.79x = 41,541.38 × 16,490.72
  4. Step 4: Simplify right side
    30,102.79x = 685,047,265.99
  5. Step 5: Solve for x
    x = 685,047,265.99/30,102.79
  6. Step 6: Final answer
    x = 22,756.94

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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.