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Finding the Fourth Proportional to 64,726, 97,082.52 and 47,230

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Solution

The fourth proportional to 64,726, 97,082.52 and 47,230 is: 70,840.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,726 : 97,082.52 = 47,230 : x
  2. Step 2: Convert to fraction form
    64,726/97,082.52 = 47,230/x
  3. Step 3: Cross multiply
    64,726x = 97,082.52 × 47,230
  4. Step 4: Simplify right side
    64,726x = 4,585,207,419.60
  5. Step 5: Solve for x
    x = 4,585,207,419.60/64,726
  6. Step 6: Final answer
    x = 70,840.27

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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.