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Finding the Fourth Proportional to 38,658.24, 53,297.60 and 27,894.08

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Solution

The fourth proportional to 38,658.24, 53,297.60 and 27,894.08 is: 38,457.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,658.24 : 53,297.60 = 27,894.08 : x
  2. Step 2: Convert to fraction form
    38,658.24/53,297.60 = 27,894.08/x
  3. Step 3: Cross multiply
    38,658.24x = 53,297.60 × 27,894.08
  4. Step 4: Simplify right side
    38,658.24x = 1,486,687,518.21
  5. Step 5: Solve for x
    x = 1,486,687,518.21/38,658.24
  6. Step 6: Final answer
    x = 38,457.20

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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.