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Finding the Fourth Proportional to 46,467.76, 69,702 and 11,407.72

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Solution

The fourth proportional to 46,467.76, 69,702 and 11,407.72 is: 17,111.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,467.76 : 69,702 = 11,407.72 : x
  2. Step 2: Convert to fraction form
    46,467.76/69,702 = 11,407.72/x
  3. Step 3: Cross multiply
    46,467.76x = 69,702 × 11,407.72
  4. Step 4: Simplify right side
    46,467.76x = 795,140,899.44
  5. Step 5: Solve for x
    x = 795,140,899.44/46,467.76
  6. Step 6: Final answer
    x = 17,111.67

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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.