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Finding the Fourth Proportional to 46,676.16, 64,412.42 and 25,455.38

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Solution

The fourth proportional to 46,676.16, 64,412.42 and 25,455.38 is: 35,128.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,676.16 : 64,412.42 = 25,455.38 : x
  2. Step 2: Convert to fraction form
    46,676.16/64,412.42 = 25,455.38/x
  3. Step 3: Cross multiply
    46,676.16x = 64,412.42 × 25,455.38
  4. Step 4: Simplify right side
    46,676.16x = 1,639,642,178.48
  5. Step 5: Solve for x
    x = 1,639,642,178.48/46,676.16
  6. Step 6: Final answer
    x = 35,128.04

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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.