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Finding the Fourth Proportional to 65,172.84, 97,759.92 and 20,802.72

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Solution

The fourth proportional to 65,172.84, 97,759.92 and 20,802.72 is: 31,204.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,172.84 : 97,759.92 = 20,802.72 : x
  2. Step 2: Convert to fraction form
    65,172.84/97,759.92 = 20,802.72/x
  3. Step 3: Cross multiply
    65,172.84x = 97,759.92 × 20,802.72
  4. Step 4: Simplify right side
    65,172.84x = 2,033,672,242.98
  5. Step 5: Solve for x
    x = 2,033,672,242.98/65,172.84
  6. Step 6: Final answer
    x = 31,204.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.