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Finding the Fourth Proportional to 35,807.32, 49,420.02 and 29,829.52

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Solution

The fourth proportional to 35,807.32, 49,420.02 and 29,829.52 is: 41,169.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,807.32 : 49,420.02 = 29,829.52 : x
  2. Step 2: Convert to fraction form
    35,807.32/49,420.02 = 29,829.52/x
  3. Step 3: Cross multiply
    35,807.32x = 49,420.02 × 29,829.52
  4. Step 4: Simplify right side
    35,807.32x = 1,474,175,474.99
  5. Step 5: Solve for x
    x = 1,474,175,474.99/35,807.32
  6. Step 6: Final answer
    x = 41,169.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.