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Finding the Fourth Proportional to 38,511.83, 53,117.89 and 24,351

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Solution

The fourth proportional to 38,511.83, 53,117.89 and 24,351 is: 33,586.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,511.83 : 53,117.89 = 24,351 : x
  2. Step 2: Convert to fraction form
    38,511.83/53,117.89 = 24,351/x
  3. Step 3: Cross multiply
    38,511.83x = 53,117.89 × 24,351
  4. Step 4: Simplify right side
    38,511.83x = 1,293,473,678.51
  5. Step 5: Solve for x
    x = 1,293,473,678.51/38,511.83
  6. Step 6: Final answer
    x = 33,586.40

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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.