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Finding the Fourth Proportional to 46,382.96, 64,008.32 and 25,162.56

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Solution

The fourth proportional to 46,382.96, 64,008.32 and 25,162.56 is: 34,724.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,382.96 : 64,008.32 = 25,162.56 : x
  2. Step 2: Convert to fraction form
    46,382.96/64,008.32 = 25,162.56/x
  3. Step 3: Cross multiply
    46,382.96x = 64,008.32 × 25,162.56
  4. Step 4: Simplify right side
    46,382.96x = 1,610,613,192.50
  5. Step 5: Solve for x
    x = 1,610,613,192.50/46,382.96
  6. Step 6: Final answer
    x = 34,724.24

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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.