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Finding the Fourth Proportional to 65,184.67, 97,758.16 and 29,626.17

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Solution

The fourth proportional to 65,184.67, 97,758.16 and 29,626.17 is: 44,430.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,184.67 : 97,758.16 = 29,626.17 : x
  2. Step 2: Convert to fraction form
    65,184.67/97,758.16 = 29,626.17/x
  3. Step 3: Cross multiply
    65,184.67x = 97,758.16 × 29,626.17
  4. Step 4: Simplify right side
    65,184.67x = 2,896,199,976.28
  5. Step 5: Solve for x
    x = 2,896,199,976.28/65,184.67
  6. Step 6: Final answer
    x = 44,430.69

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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.