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Finding the Fourth Proportional to 65,237.50, 97,856.25 and 15,989.50

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Solution

The fourth proportional to 65,237.50, 97,856.25 and 15,989.50 is: 23,984.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,237.50 : 97,856.25 = 15,989.50 : x
  2. Step 2: Convert to fraction form
    65,237.50/97,856.25 = 15,989.50/x
  3. Step 3: Cross multiply
    65,237.50x = 97,856.25 × 15,989.50
  4. Step 4: Simplify right side
    65,237.50x = 1,564,672,509.38
  5. Step 5: Solve for x
    x = 1,564,672,509.38/65,237.50
  6. Step 6: Final answer
    x = 23,984.25

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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.