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Finding the Fourth Proportional to 46,142.06, 63,677.03 and 25,725.38

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Solution

The fourth proportional to 46,142.06, 63,677.03 and 25,725.38 is: 35,501.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,142.06 : 63,677.03 = 25,725.38 : x
  2. Step 2: Convert to fraction form
    46,142.06/63,677.03 = 25,725.38/x
  3. Step 3: Cross multiply
    46,142.06x = 63,677.03 × 25,725.38
  4. Step 4: Simplify right side
    46,142.06x = 1,638,115,347.01
  5. Step 5: Solve for x
    x = 1,638,115,347.01/46,142.06
  6. Step 6: Final answer
    x = 35,501.57

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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.