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Finding the Fourth Proportional to 65,215.98, 97,889.58 and 47,632.50

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Solution

The fourth proportional to 65,215.98, 97,889.58 and 47,632.50 is: 71,496.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,215.98 : 97,889.58 = 47,632.50 : x
  2. Step 2: Convert to fraction form
    65,215.98/97,889.58 = 47,632.50/x
  3. Step 3: Cross multiply
    65,215.98x = 97,889.58 × 47,632.50
  4. Step 4: Simplify right side
    65,215.98x = 4,662,725,419.35
  5. Step 5: Solve for x
    x = 4,662,725,419.35/65,215.98
  6. Step 6: Final answer
    x = 71,496.67

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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.