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Finding the Fourth Proportional to 46,957.11, 70,447.14 and 13,676.64

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Solution

The fourth proportional to 46,957.11, 70,447.14 and 13,676.64 is: 20,518.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,957.11 : 70,447.14 = 13,676.64 : x
  2. Step 2: Convert to fraction form
    46,957.11/70,447.14 = 13,676.64/x
  3. Step 3: Cross multiply
    46,957.11x = 70,447.14 × 13,676.64
  4. Step 4: Simplify right side
    46,957.11x = 963,480,172.81
  5. Step 5: Solve for x
    x = 963,480,172.81/46,957.11
  6. Step 6: Final answer
    x = 20,518.30

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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.