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Finding the Fourth Proportional to 46,464.76, 64,121.16 and 25,243.84

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Solution

The fourth proportional to 46,464.76, 64,121.16 and 25,243.84 is: 34,836.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,464.76 : 64,121.16 = 25,243.84 : x
  2. Step 2: Convert to fraction form
    46,464.76/64,121.16 = 25,243.84/x
  3. Step 3: Cross multiply
    46,464.76x = 64,121.16 × 25,243.84
  4. Step 4: Simplify right side
    46,464.76x = 1,618,664,303.65
  5. Step 5: Solve for x
    x = 1,618,664,303.65/46,464.76
  6. Step 6: Final answer
    x = 34,836.39

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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.