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Finding the Fourth Proportional to 47,407.84, 65,421 and 26,186.64

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Solution

The fourth proportional to 47,407.84, 65,421 and 26,186.64 is: 36,136.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,407.84 : 65,421 = 26,186.64 : x
  2. Step 2: Convert to fraction form
    47,407.84/65,421 = 26,186.64/x
  3. Step 3: Cross multiply
    47,407.84x = 65,421 × 26,186.64
  4. Step 4: Simplify right side
    47,407.84x = 1,713,156,175.44
  5. Step 5: Solve for x
    x = 1,713,156,175.44/47,407.84
  6. Step 6: Final answer
    x = 36,136.56

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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.