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Finding the Fourth Proportional to 46,959.41, 70,450.70 and 13,679.75

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Solution

The fourth proportional to 46,959.41, 70,450.70 and 13,679.75 is: 20,523.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,959.41 : 70,450.70 = 13,679.75 : x
  2. Step 2: Convert to fraction form
    46,959.41/70,450.70 = 13,679.75/x
  3. Step 3: Cross multiply
    46,959.41x = 70,450.70 × 13,679.75
  4. Step 4: Simplify right side
    46,959.41x = 963,748,071.05
  5. Step 5: Solve for x
    x = 963,748,071.05/46,959.41
  6. Step 6: Final answer
    x = 20,523.00

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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.