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Finding the Fourth Proportional to 34,041.66, 46,978.14 and 19,902.70

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Solution

The fourth proportional to 34,041.66, 46,978.14 and 19,902.70 is: 27,466.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,041.66 : 46,978.14 = 19,902.70 : x
  2. Step 2: Convert to fraction form
    34,041.66/46,978.14 = 19,902.70/x
  3. Step 3: Cross multiply
    34,041.66x = 46,978.14 × 19,902.70
  4. Step 4: Simplify right side
    34,041.66x = 934,991,826.98
  5. Step 5: Solve for x
    x = 934,991,826.98/34,041.66
  6. Step 6: Final answer
    x = 27,466.11

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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.