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Finding the Fourth Proportional to 53,762.86, 74,197.29 and 29,894.14

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Solution

The fourth proportional to 53,762.86, 74,197.29 and 29,894.14 is: 41,256.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,762.86 : 74,197.29 = 29,894.14 : x
  2. Step 2: Convert to fraction form
    53,762.86/74,197.29 = 29,894.14/x
  3. Step 3: Cross multiply
    53,762.86x = 74,197.29 × 29,894.14
  4. Step 4: Simplify right side
    53,762.86x = 2,218,064,174.88
  5. Step 5: Solve for x
    x = 2,218,064,174.88/53,762.86
  6. Step 6: Final answer
    x = 41,256.44

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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.