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Finding the Fourth Proportional to 38,468.92, 53,088.06 and 21,703

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Solution

The fourth proportional to 38,468.92, 53,088.06 and 21,703 is: 29,950.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,468.92 : 53,088.06 = 21,703 : x
  2. Step 2: Convert to fraction form
    38,468.92/53,088.06 = 21,703/x
  3. Step 3: Cross multiply
    38,468.92x = 53,088.06 × 21,703
  4. Step 4: Simplify right side
    38,468.92x = 1,152,170,166.18
  5. Step 5: Solve for x
    x = 1,152,170,166.18/38,468.92
  6. Step 6: Final answer
    x = 29,950.68

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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.