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Finding the Fourth Proportional to 65,302.08, 97,894.40 and 23,720

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Solution

The fourth proportional to 65,302.08, 97,894.40 and 23,720 is: 35,558.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,302.08 : 97,894.40 = 23,720 : x
  2. Step 2: Convert to fraction form
    65,302.08/97,894.40 = 23,720/x
  3. Step 3: Cross multiply
    65,302.08x = 97,894.40 × 23,720
  4. Step 4: Simplify right side
    65,302.08x = 2,322,055,168
  5. Step 5: Solve for x
    x = 2,322,055,168/65,302.08
  6. Step 6: Final answer
    x = 35,558.67

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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.