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Finding the Fourth Proportional to 46,886.62, 70,327.76 and 13,606

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Solution

The fourth proportional to 46,886.62, 70,327.76 and 13,606 is: 20,408.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,886.62 : 70,327.76 = 13,606 : x
  2. Step 2: Convert to fraction form
    46,886.62/70,327.76 = 13,606/x
  3. Step 3: Cross multiply
    46,886.62x = 70,327.76 × 13,606
  4. Step 4: Simplify right side
    46,886.62x = 956,879,502.56
  5. Step 5: Solve for x
    x = 956,879,502.56/46,886.62
  6. Step 6: Final answer
    x = 20,408.37

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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.