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Finding the Fourth Proportional to 46,413, 64,049.94 and 25,192.42

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Solution

The fourth proportional to 46,413, 64,049.94 and 25,192.42 is: 34,765.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,413 : 64,049.94 = 25,192.42 : x
  2. Step 2: Convert to fraction form
    46,413/64,049.94 = 25,192.42/x
  3. Step 3: Cross multiply
    46,413x = 64,049.94 × 25,192.42
  4. Step 4: Simplify right side
    46,413x = 1,613,572,829.33
  5. Step 5: Solve for x
    x = 1,613,572,829.33/46,413
  6. Step 6: Final answer
    x = 34,765.54

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