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Finding the Fourth Proportional to 53,696.52, 74,102.04 and 29,824.20

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Solution

The fourth proportional to 53,696.52, 74,102.04 and 29,824.20 is: 41,157.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,696.52 : 74,102.04 = 29,824.20 : x
  2. Step 2: Convert to fraction form
    53,696.52/74,102.04 = 29,824.20/x
  3. Step 3: Cross multiply
    53,696.52x = 74,102.04 × 29,824.20
  4. Step 4: Simplify right side
    53,696.52x = 2,210,034,061.37
  5. Step 5: Solve for x
    x = 2,210,034,061.37/53,696.52
  6. Step 6: Final answer
    x = 41,157.86

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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.