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Finding the Fourth Proportional to 65,323, 90,146.46 and 35,515

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Solution

The fourth proportional to 65,323, 90,146.46 and 35,515 is: 49,011.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,323 : 90,146.46 = 35,515 : x
  2. Step 2: Convert to fraction form
    65,323/90,146.46 = 35,515/x
  3. Step 3: Cross multiply
    65,323x = 90,146.46 × 35,515
  4. Step 4: Simplify right side
    65,323x = 3,201,551,526.90
  5. Step 5: Solve for x
    x = 3,201,551,526.90/65,323
  6. Step 6: Final answer
    x = 49,011.09

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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.