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Finding the Fourth Proportional to 52,302, 72,186.48 and 29,946

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Solution

The fourth proportional to 52,302, 72,186.48 and 29,946 is: 41,331.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,302 : 72,186.48 = 29,946 : x
  2. Step 2: Convert to fraction form
    52,302/72,186.48 = 29,946/x
  3. Step 3: Cross multiply
    52,302x = 72,186.48 × 29,946
  4. Step 4: Simplify right side
    52,302x = 2,161,696,330.08
  5. Step 5: Solve for x
    x = 2,161,696,330.08/52,302
  6. Step 6: Final answer
    x = 41,331.05

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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.