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Finding the Fourth Proportional to 65,048.40, 97,584.66 and 20,686.32

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Solution

The fourth proportional to 65,048.40, 97,584.66 and 20,686.32 is: 31,033.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,048.40 : 97,584.66 = 20,686.32 : x
  2. Step 2: Convert to fraction form
    65,048.40/97,584.66 = 20,686.32/x
  3. Step 3: Cross multiply
    65,048.40x = 97,584.66 × 20,686.32
  4. Step 4: Simplify right side
    65,048.40x = 2,018,667,503.85
  5. Step 5: Solve for x
    x = 2,018,667,503.85/65,048.40
  6. Step 6: Final answer
    x = 31,033.32

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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.