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Finding the Fourth Proportional to 34,894.40, 52,362.11 and 12,709.10

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Solution

The fourth proportional to 34,894.40, 52,362.11 and 12,709.10 is: 19,071.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,894.40 : 52,362.11 = 12,709.10 : x
  2. Step 2: Convert to fraction form
    34,894.40/52,362.11 = 12,709.10/x
  3. Step 3: Cross multiply
    34,894.40x = 52,362.11 × 12,709.10
  4. Step 4: Simplify right side
    34,894.40x = 665,475,454.88
  5. Step 5: Solve for x
    x = 665,475,454.88/34,894.40
  6. Step 6: Final answer
    x = 19,071.13

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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.