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Finding the Fourth Proportional to 35,733, 53,599.50 and 24,477.24

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Solution

The fourth proportional to 35,733, 53,599.50 and 24,477.24 is: 36,715.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,733 : 53,599.50 = 24,477.24 : x
  2. Step 2: Convert to fraction form
    35,733/53,599.50 = 24,477.24/x
  3. Step 3: Cross multiply
    35,733x = 53,599.50 × 24,477.24
  4. Step 4: Simplify right side
    35,733x = 1,311,967,825.38
  5. Step 5: Solve for x
    x = 1,311,967,825.38/35,733
  6. Step 6: Final answer
    x = 36,715.86

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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.