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Finding the Fourth Proportional to 38,490, 53,117.04 and 21,723.12

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Solution

The fourth proportional to 38,490, 53,117.04 and 21,723.12 is: 29,978.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,490 : 53,117.04 = 21,723.12 : x
  2. Step 2: Convert to fraction form
    38,490/53,117.04 = 21,723.12/x
  3. Step 3: Cross multiply
    38,490x = 53,117.04 × 21,723.12
  4. Step 4: Simplify right side
    38,490x = 1,153,867,833.96
  5. Step 5: Solve for x
    x = 1,153,867,833.96/38,490
  6. Step 6: Final answer
    x = 29,978.38

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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.