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Finding the Fourth Proportional to 64,825.04, 97,419.96 and 38,534.48

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Solution

The fourth proportional to 64,825.04, 97,419.96 and 38,534.48 is: 57,910.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,825.04 : 97,419.96 = 38,534.48 : x
  2. Step 2: Convert to fraction form
    64,825.04/97,419.96 = 38,534.48/x
  3. Step 3: Cross multiply
    64,825.04x = 97,419.96 × 38,534.48
  4. Step 4: Simplify right side
    64,825.04x = 3,754,027,500.22
  5. Step 5: Solve for x
    x = 3,754,027,500.22/64,825.04
  6. Step 6: Final answer
    x = 57,910.15

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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.