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Finding the Fourth Proportional to 46,776, 64,540.62 and 29,774.10

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Solution

The fourth proportional to 46,776, 64,540.62 and 29,774.10 is: 41,081.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,776 : 64,540.62 = 29,774.10 : x
  2. Step 2: Convert to fraction form
    46,776/64,540.62 = 29,774.10/x
  3. Step 3: Cross multiply
    46,776x = 64,540.62 × 29,774.10
  4. Step 4: Simplify right side
    46,776x = 1,921,638,873.94
  5. Step 5: Solve for x
    x = 1,921,638,873.94/46,776
  6. Step 6: Final answer
    x = 41,081.73

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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.