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Finding the Fourth Proportional to 62,241, 93,361.50 and 18,465

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Solution

The fourth proportional to 62,241, 93,361.50 and 18,465 is: 27,697.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,241 : 93,361.50 = 18,465 : x
  2. Step 2: Convert to fraction form
    62,241/93,361.50 = 18,465/x
  3. Step 3: Cross multiply
    62,241x = 93,361.50 × 18,465
  4. Step 4: Simplify right side
    62,241x = 1,723,920,097.50
  5. Step 5: Solve for x
    x = 1,723,920,097.50/62,241
  6. Step 6: Final answer
    x = 27,697.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.