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Finding the Fourth Proportional to 34,068.50, 47,021.02 and 19,164.50

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Solution

The fourth proportional to 34,068.50, 47,021.02 and 19,164.50 is: 26,450.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,068.50 : 47,021.02 = 19,164.50 : x
  2. Step 2: Convert to fraction form
    34,068.50/47,021.02 = 19,164.50/x
  3. Step 3: Cross multiply
    34,068.50x = 47,021.02 × 19,164.50
  4. Step 4: Simplify right side
    34,068.50x = 901,134,337.79
  5. Step 5: Solve for x
    x = 901,134,337.79/34,068.50
  6. Step 6: Final answer
    x = 26,450.66

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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.