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Finding the Fourth Proportional to 64,980.36, 97,317 and 31,723.20

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Solution

The fourth proportional to 64,980.36, 97,317 and 31,723.20 is: 47,509.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,980.36 : 97,317 = 31,723.20 : x
  2. Step 2: Convert to fraction form
    64,980.36/97,317 = 31,723.20/x
  3. Step 3: Cross multiply
    64,980.36x = 97,317 × 31,723.20
  4. Step 4: Simplify right side
    64,980.36x = 3,087,206,654.40
  5. Step 5: Solve for x
    x = 3,087,206,654.40/64,980.36
  6. Step 6: Final answer
    x = 47,509.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.