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Finding the Fourth Proportional to 38,152.24, 52,647.23 and 21,382

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Solution

The fourth proportional to 38,152.24, 52,647.23 and 21,382 is: 29,505.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,152.24 : 52,647.23 = 21,382 : x
  2. Step 2: Convert to fraction form
    38,152.24/52,647.23 = 21,382/x
  3. Step 3: Cross multiply
    38,152.24x = 52,647.23 × 21,382
  4. Step 4: Simplify right side
    38,152.24x = 1,125,703,071.86
  5. Step 5: Solve for x
    x = 1,125,703,071.86/38,152.24
  6. Step 6: Final answer
    x = 29,505.56

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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.