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Finding the Fourth Proportional to 46,463.76, 69,696 and 11,403.72

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Solution

The fourth proportional to 46,463.76, 69,696 and 11,403.72 is: 17,105.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,463.76 : 69,696 = 11,403.72 : x
  2. Step 2: Convert to fraction form
    46,463.76/69,696 = 11,403.72/x
  3. Step 3: Cross multiply
    46,463.76x = 69,696 × 11,403.72
  4. Step 4: Simplify right side
    46,463.76x = 794,793,669.12
  5. Step 5: Solve for x
    x = 794,793,669.12/46,463.76
  6. Step 6: Final answer
    x = 17,105.67

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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.