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Finding the Fourth Proportional to 65,107.59, 97,671.14 and 23,564.31

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Solution

The fourth proportional to 65,107.59, 97,671.14 and 23,564.31 is: 35,350.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,107.59 : 97,671.14 = 23,564.31 : x
  2. Step 2: Convert to fraction form
    65,107.59/97,671.14 = 23,564.31/x
  3. Step 3: Cross multiply
    65,107.59x = 97,671.14 × 23,564.31
  4. Step 4: Simplify right side
    65,107.59x = 2,301,553,402.01
  5. Step 5: Solve for x
    x = 2,301,553,402.01/65,107.59
  6. Step 6: Final answer
    x = 35,350.00

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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.