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Finding the Fourth Proportional to 46,690.53, 70,035.86 and 13,402.86

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Solution

The fourth proportional to 46,690.53, 70,035.86 and 13,402.86 is: 20,104.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,690.53 : 70,035.86 = 13,402.86 : x
  2. Step 2: Convert to fraction form
    46,690.53/70,035.86 = 13,402.86/x
  3. Step 3: Cross multiply
    46,690.53x = 70,035.86 × 13,402.86
  4. Step 4: Simplify right side
    46,690.53x = 938,680,826.56
  5. Step 5: Solve for x
    x = 938,680,826.56/46,690.53
  6. Step 6: Final answer
    x = 20,104.31

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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.