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Finding the Fourth Proportional to 65,236.50, 97,854.75 and 15,988.50

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Solution

The fourth proportional to 65,236.50, 97,854.75 and 15,988.50 is: 23,982.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,236.50 : 97,854.75 = 15,988.50 : x
  2. Step 2: Convert to fraction form
    65,236.50/97,854.75 = 15,988.50/x
  3. Step 3: Cross multiply
    65,236.50x = 97,854.75 × 15,988.50
  4. Step 4: Simplify right side
    65,236.50x = 1,564,550,670.38
  5. Step 5: Solve for x
    x = 1,564,550,670.38/65,236.50
  6. Step 6: Final answer
    x = 23,982.75

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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.