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Finding the Fourth Proportional to 38,502.34, 53,083.83 and 31,578.10

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Solution

The fourth proportional to 38,502.34, 53,083.83 and 31,578.10 is: 43,537.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,502.34 : 53,083.83 = 31,578.10 : x
  2. Step 2: Convert to fraction form
    38,502.34/53,083.83 = 31,578.10/x
  3. Step 3: Cross multiply
    38,502.34x = 53,083.83 × 31,578.10
  4. Step 4: Simplify right side
    38,502.34x = 1,676,286,492.12
  5. Step 5: Solve for x
    x = 1,676,286,492.12/38,502.34
  6. Step 6: Final answer
    x = 43,537.26

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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.