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Finding the Fourth Proportional to 34,970.49, 52,501.46 and 20,764.90

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Solution

The fourth proportional to 34,970.49, 52,501.46 and 20,764.90 is: 31,174.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,970.49 : 52,501.46 = 20,764.90 : x
  2. Step 2: Convert to fraction form
    34,970.49/52,501.46 = 20,764.90/x
  3. Step 3: Cross multiply
    34,970.49x = 52,501.46 × 20,764.90
  4. Step 4: Simplify right side
    34,970.49x = 1,090,187,462.93
  5. Step 5: Solve for x
    x = 1,090,187,462.93/34,970.49
  6. Step 6: Final answer
    x = 31,174.50

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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.