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Finding the Fourth Proportional to 46,412.57, 64,049.46 and 28,507.32

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Solution

The fourth proportional to 46,412.57, 64,049.46 and 28,507.32 is: 39,340.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,412.57 : 64,049.46 = 28,507.32 : x
  2. Step 2: Convert to fraction form
    46,412.57/64,049.46 = 28,507.32/x
  3. Step 3: Cross multiply
    46,412.57x = 64,049.46 × 28,507.32
  4. Step 4: Simplify right side
    46,412.57x = 1,825,878,452.05
  5. Step 5: Solve for x
    x = 1,825,878,452.05/46,412.57
  6. Step 6: Final answer
    x = 39,340.17

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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.