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Finding the Fourth Proportional to 65,138.40, 97,707.60 and 37,047.60

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Solution

The fourth proportional to 65,138.40, 97,707.60 and 37,047.60 is: 55,571.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,138.40 : 97,707.60 = 37,047.60 : x
  2. Step 2: Convert to fraction form
    65,138.40/97,707.60 = 37,047.60/x
  3. Step 3: Cross multiply
    65,138.40x = 97,707.60 × 37,047.60
  4. Step 4: Simplify right side
    65,138.40x = 3,619,832,081.76
  5. Step 5: Solve for x
    x = 3,619,832,081.76/65,138.40
  6. Step 6: Final answer
    x = 55,571.40

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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.