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Finding the Fourth Proportional to 65,070, 89,796.60 and 35,262

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Solution

The fourth proportional to 65,070, 89,796.60 and 35,262 is: 48,661.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,070 : 89,796.60 = 35,262 : x
  2. Step 2: Convert to fraction form
    65,070/89,796.60 = 35,262/x
  3. Step 3: Cross multiply
    65,070x = 89,796.60 × 35,262
  4. Step 4: Simplify right side
    65,070x = 3,166,407,709.20
  5. Step 5: Solve for x
    x = 3,166,407,709.20/65,070
  6. Step 6: Final answer
    x = 48,661.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.