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Finding the Fourth Proportional to 52,352.32, 72,238.08 and 29,992

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Solution

The fourth proportional to 52,352.32, 72,238.08 and 29,992 is: 41,384.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,352.32 : 72,238.08 = 29,992 : x
  2. Step 2: Convert to fraction form
    52,352.32/72,238.08 = 29,992/x
  3. Step 3: Cross multiply
    52,352.32x = 72,238.08 × 29,992
  4. Step 4: Simplify right side
    52,352.32x = 2,166,564,495.36
  5. Step 5: Solve for x
    x = 2,166,564,495.36/52,352.32
  6. Step 6: Final answer
    x = 41,384.31

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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.