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Finding the Fourth Proportional to 38,714.27, 53,434.22 and 24,564.38

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Solution

The fourth proportional to 38,714.27, 53,434.22 and 24,564.38 is: 33,904.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,714.27 : 53,434.22 = 24,564.38 : x
  2. Step 2: Convert to fraction form
    38,714.27/53,434.22 = 24,564.38/x
  3. Step 3: Cross multiply
    38,714.27x = 53,434.22 × 24,564.38
  4. Step 4: Simplify right side
    38,714.27x = 1,312,578,095.09
  5. Step 5: Solve for x
    x = 1,312,578,095.09/38,714.27
  6. Step 6: Final answer
    x = 33,904.25

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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.