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Finding the Fourth Proportional to 53,684.32, 74,082.94 and 29,810.38

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Solution

The fourth proportional to 53,684.32, 74,082.94 and 29,810.38 is: 41,137.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,684.32 : 74,082.94 = 29,810.38 : x
  2. Step 2: Convert to fraction form
    53,684.32/74,082.94 = 29,810.38/x
  3. Step 3: Cross multiply
    53,684.32x = 74,082.94 × 29,810.38
  4. Step 4: Simplify right side
    53,684.32x = 2,208,440,592.92
  5. Step 5: Solve for x
    x = 2,208,440,592.92/53,684.32
  6. Step 6: Final answer
    x = 41,137.53

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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.