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Finding the Fourth Proportional to 46,676.34, 70,014.39 and 11,616

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Solution

The fourth proportional to 46,676.34, 70,014.39 and 11,616 is: 17,423.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,676.34 : 70,014.39 = 11,616 : x
  2. Step 2: Convert to fraction form
    46,676.34/70,014.39 = 11,616/x
  3. Step 3: Cross multiply
    46,676.34x = 70,014.39 × 11,616
  4. Step 4: Simplify right side
    46,676.34x = 813,287,154.24
  5. Step 5: Solve for x
    x = 813,287,154.24/46,676.34
  6. Step 6: Final answer
    x = 17,423.97

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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.