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Finding the Fourth Proportional to 65,733, 90,711.54 and 35,925

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Solution

The fourth proportional to 65,733, 90,711.54 and 35,925 is: 49,576.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,733 : 90,711.54 = 35,925 : x
  2. Step 2: Convert to fraction form
    65,733/90,711.54 = 35,925/x
  3. Step 3: Cross multiply
    65,733x = 90,711.54 × 35,925
  4. Step 4: Simplify right side
    65,733x = 3,258,812,074.50
  5. Step 5: Solve for x
    x = 3,258,812,074.50/65,733
  6. Step 6: Final answer
    x = 49,576.50

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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.