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Finding the Fourth Proportional to 65,106, 97,668.75 and 23,562.72

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Solution

The fourth proportional to 65,106, 97,668.75 and 23,562.72 is: 35,347.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,106 : 97,668.75 = 23,562.72 : x
  2. Step 2: Convert to fraction form
    65,106/97,668.75 = 23,562.72/x
  3. Step 3: Cross multiply
    65,106x = 97,668.75 × 23,562.72
  4. Step 4: Simplify right side
    65,106x = 2,301,341,409
  5. Step 5: Solve for x
    x = 2,301,341,409/65,106
  6. Step 6: Final answer
    x = 35,347.61

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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.