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Finding the Fourth Proportional to 65,152.49, 97,666.31 and 20,750.46

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Solution

The fourth proportional to 65,152.49, 97,666.31 and 20,750.46 is: 31,105.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,152.49 : 97,666.31 = 20,750.46 : x
  2. Step 2: Convert to fraction form
    65,152.49/97,666.31 = 20,750.46/x
  3. Step 3: Cross multiply
    65,152.49x = 97,666.31 × 20,750.46
  4. Step 4: Simplify right side
    65,152.49x = 2,026,620,977.28
  5. Step 5: Solve for x
    x = 2,026,620,977.28/65,152.49
  6. Step 6: Final answer
    x = 31,105.81

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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.