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Finding the Fourth Proportional to 65,596.32, 90,522.46 and 37,302

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Solution

The fourth proportional to 65,596.32, 90,522.46 and 37,302 is: 51,476.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,596.32 : 90,522.46 = 37,302 : x
  2. Step 2: Convert to fraction form
    65,596.32/90,522.46 = 37,302/x
  3. Step 3: Cross multiply
    65,596.32x = 90,522.46 × 37,302
  4. Step 4: Simplify right side
    65,596.32x = 3,376,668,802.92
  5. Step 5: Solve for x
    x = 3,376,668,802.92/65,596.32
  6. Step 6: Final answer
    x = 51,476.50

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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.