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Finding the Fourth Proportional to 83,035.41, 114,588.25 and 47,225.38

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Solution

The fourth proportional to 83,035.41, 114,588.25 and 47,225.38 is: 65,170.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,035.41 : 114,588.25 = 47,225.38 : x
  2. Step 2: Convert to fraction form
    83,035.41/114,588.25 = 47,225.38/x
  3. Step 3: Cross multiply
    83,035.41x = 114,588.25 × 47,225.38
  4. Step 4: Simplify right side
    83,035.41x = 5,411,473,649.79
  5. Step 5: Solve for x
    x = 5,411,473,649.79/83,035.41
  6. Step 6: Final answer
    x = 65,170.67

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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.