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Finding the Fourth Proportional to 46,806.85, 70,216.85 and 15,206.77

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Solution

The fourth proportional to 46,806.85, 70,216.85 and 15,206.77 is: 22,812.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,806.85 : 70,216.85 = 15,206.77 : x
  2. Step 2: Convert to fraction form
    46,806.85/70,216.85 = 15,206.77/x
  3. Step 3: Cross multiply
    46,806.85x = 70,216.85 × 15,206.77
  4. Step 4: Simplify right side
    46,806.85x = 1,067,771,488.07
  5. Step 5: Solve for x
    x = 1,067,771,488.07/46,806.85
  6. Step 6: Final answer
    x = 22,812.29

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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.