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Finding the Fourth Proportional to 46,600, 64,312.86 and 26,462.32

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Solution

The fourth proportional to 46,600, 64,312.86 and 26,462.32 is: 36,520.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,600 : 64,312.86 = 26,462.32 : x
  2. Step 2: Convert to fraction form
    46,600/64,312.86 = 26,462.32/x
  3. Step 3: Cross multiply
    46,600x = 64,312.86 × 26,462.32
  4. Step 4: Simplify right side
    46,600x = 1,701,867,481.44
  5. Step 5: Solve for x
    x = 1,701,867,481.44/46,600
  6. Step 6: Final answer
    x = 36,520.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.