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Finding the Fourth Proportional to 43,515, 65,263.35 and 21,306

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Solution

The fourth proportional to 43,515, 65,263.35 and 21,306 is: 31,954.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,515 : 65,263.35 = 21,306 : x
  2. Step 2: Convert to fraction form
    43,515/65,263.35 = 21,306/x
  3. Step 3: Cross multiply
    43,515x = 65,263.35 × 21,306
  4. Step 4: Simplify right side
    43,515x = 1,390,500,935.10
  5. Step 5: Solve for x
    x = 1,390,500,935.10/43,515
  6. Step 6: Final answer
    x = 31,954.52

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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.