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Finding the Fourth Proportional to 77,435.65, 116,107 and 26,818

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Solution

The fourth proportional to 77,435.65, 116,107 and 26,818 is: 40,210.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,435.65 : 116,107 = 26,818 : x
  2. Step 2: Convert to fraction form
    77,435.65/116,107 = 26,818/x
  3. Step 3: Cross multiply
    77,435.65x = 116,107 × 26,818
  4. Step 4: Simplify right side
    77,435.65x = 3,113,757,526
  5. Step 5: Solve for x
    x = 3,113,757,526/77,435.65
  6. Step 6: Final answer
    x = 40,210.90

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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.