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Finding the Fourth Proportional to 65,234.90, 97,852.35 and 41,906.90

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Solution

The fourth proportional to 65,234.90, 97,852.35 and 41,906.90 is: 62,860.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,234.90 : 97,852.35 = 41,906.90 : x
  2. Step 2: Convert to fraction form
    65,234.90/97,852.35 = 41,906.90/x
  3. Step 3: Cross multiply
    65,234.90x = 97,852.35 × 41,906.90
  4. Step 4: Simplify right side
    65,234.90x = 4,100,688,646.22
  5. Step 5: Solve for x
    x = 4,100,688,646.22/65,234.90
  6. Step 6: Final answer
    x = 62,860.35

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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.