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Finding the Fourth Proportional to 46,633.38, 64,352.34 and 25,412.28

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Solution

The fourth proportional to 46,633.38, 64,352.34 and 25,412.28 is: 35,068.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,633.38 : 64,352.34 = 25,412.28 : x
  2. Step 2: Convert to fraction form
    46,633.38/64,352.34 = 25,412.28/x
  3. Step 3: Cross multiply
    46,633.38x = 64,352.34 × 25,412.28
  4. Step 4: Simplify right side
    46,633.38x = 1,635,339,682.74
  5. Step 5: Solve for x
    x = 1,635,339,682.74/46,633.38
  6. Step 6: Final answer
    x = 35,068.01

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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.