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Finding the Fourth Proportional to 46,663.16, 70,023.77 and 18,961.16

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Solution

The fourth proportional to 46,663.16, 70,023.77 and 18,961.16 is: 28,453.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,663.16 : 70,023.77 = 18,961.16 : x
  2. Step 2: Convert to fraction form
    46,663.16/70,023.77 = 18,961.16/x
  3. Step 3: Cross multiply
    46,663.16x = 70,023.77 × 18,961.16
  4. Step 4: Simplify right side
    46,663.16x = 1,327,731,461.85
  5. Step 5: Solve for x
    x = 1,327,731,461.85/46,663.16
  6. Step 6: Final answer
    x = 28,453.53

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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.