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Finding the Fourth Proportional to 46,678.02, 64,414.89 and 25,456.02

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Solution

The fourth proportional to 46,678.02, 64,414.89 and 25,456.02 is: 35,128.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,678.02 : 64,414.89 = 25,456.02 : x
  2. Step 2: Convert to fraction form
    46,678.02/64,414.89 = 25,456.02/x
  3. Step 3: Cross multiply
    46,678.02x = 64,414.89 × 25,456.02
  4. Step 4: Simplify right side
    46,678.02x = 1,639,746,728.14
  5. Step 5: Solve for x
    x = 1,639,746,728.14/46,678.02
  6. Step 6: Final answer
    x = 35,128.88

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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.