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Finding the Fourth Proportional to 65,237.25, 97,689.72 and 42,983.17

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Solution

The fourth proportional to 65,237.25, 97,689.72 and 42,983.17 is: 64,365.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,237.25 : 97,689.72 = 42,983.17 : x
  2. Step 2: Convert to fraction form
    65,237.25/97,689.72 = 42,983.17/x
  3. Step 3: Cross multiply
    65,237.25x = 97,689.72 × 42,983.17
  4. Step 4: Simplify right side
    65,237.25x = 4,199,014,187.59
  5. Step 5: Solve for x
    x = 4,199,014,187.59/65,237.25
  6. Step 6: Final answer
    x = 64,365.29

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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.