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Finding the Fourth Proportional to 65,267.30, 97,904.67 and 18,516.50

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Solution

The fourth proportional to 65,267.30, 97,904.67 and 18,516.50 is: 27,775.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,267.30 : 97,904.67 = 18,516.50 : x
  2. Step 2: Convert to fraction form
    65,267.30/97,904.67 = 18,516.50/x
  3. Step 3: Cross multiply
    65,267.30x = 97,904.67 × 18,516.50
  4. Step 4: Simplify right side
    65,267.30x = 1,812,851,822.06
  5. Step 5: Solve for x
    x = 1,812,851,822.06/65,267.30
  6. Step 6: Final answer
    x = 27,775.81

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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.