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Finding the Fourth Proportional to 65,381.04, 90,234 and 37,095.84

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Solution

The fourth proportional to 65,381.04, 90,234 and 37,095.84 is: 51,196.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,381.04 : 90,234 = 37,095.84 : x
  2. Step 2: Convert to fraction form
    65,381.04/90,234 = 37,095.84/x
  3. Step 3: Cross multiply
    65,381.04x = 90,234 × 37,095.84
  4. Step 4: Simplify right side
    65,381.04x = 3,347,306,026.56
  5. Step 5: Solve for x
    x = 3,347,306,026.56/65,381.04
  6. Step 6: Final answer
    x = 51,196.89

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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.