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Finding the Fourth Proportional to 46,655.42, 64,382.85 and 25,434.26

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Solution

The fourth proportional to 46,655.42, 64,382.85 and 25,434.26 is: 35,098.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,655.42 : 64,382.85 = 25,434.26 : x
  2. Step 2: Convert to fraction form
    46,655.42/64,382.85 = 25,434.26/x
  3. Step 3: Cross multiply
    46,655.42x = 64,382.85 × 25,434.26
  4. Step 4: Simplify right side
    46,655.42x = 1,637,530,146.44
  5. Step 5: Solve for x
    x = 1,637,530,146.44/46,655.42
  6. Step 6: Final answer
    x = 35,098.39

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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.