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Finding the Fourth Proportional to 46,188.34, 63,741.80 and 29,186.38

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Solution

The fourth proportional to 46,188.34, 63,741.80 and 29,186.38 is: 40,278.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,188.34 : 63,741.80 = 29,186.38 : x
  2. Step 2: Convert to fraction form
    46,188.34/63,741.80 = 29,186.38/x
  3. Step 3: Cross multiply
    46,188.34x = 63,741.80 × 29,186.38
  4. Step 4: Simplify right side
    46,188.34x = 1,860,392,396.68
  5. Step 5: Solve for x
    x = 1,860,392,396.68/46,188.34
  6. Step 6: Final answer
    x = 40,278.40

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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.