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Finding the Fourth Proportional to 46,415.86, 64,052.04 and 25,194.76

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Solution

The fourth proportional to 46,415.86, 64,052.04 and 25,194.76 is: 34,767.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,415.86 : 64,052.04 = 25,194.76 : x
  2. Step 2: Convert to fraction form
    46,415.86/64,052.04 = 25,194.76/x
  3. Step 3: Cross multiply
    46,415.86x = 64,052.04 × 25,194.76
  4. Step 4: Simplify right side
    46,415.86x = 1,613,775,775.31
  5. Step 5: Solve for x
    x = 1,613,775,775.31/46,415.86
  6. Step 6: Final answer
    x = 34,767.77

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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.