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Finding the Fourth Proportional to 65,022, 97,533.04 and 15,774

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Solution

The fourth proportional to 65,022, 97,533.04 and 15,774 is: 23,661.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,022 : 97,533.04 = 15,774 : x
  2. Step 2: Convert to fraction form
    65,022/97,533.04 = 15,774/x
  3. Step 3: Cross multiply
    65,022x = 97,533.04 × 15,774
  4. Step 4: Simplify right side
    65,022x = 1,538,486,172.96
  5. Step 5: Solve for x
    x = 1,538,486,172.96/65,022
  6. Step 6: Final answer
    x = 23,661.01

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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.