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Finding the Fourth Proportional to 30,514.57, 42,112.28 and 16,903.92

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Solution

The fourth proportional to 30,514.57, 42,112.28 and 16,903.92 is: 23,328.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,514.57 : 42,112.28 = 16,903.92 : x
  2. Step 2: Convert to fraction form
    30,514.57/42,112.28 = 16,903.92/x
  3. Step 3: Cross multiply
    30,514.57x = 42,112.28 × 16,903.92
  4. Step 4: Simplify right side
    30,514.57x = 711,862,409.45
  5. Step 5: Solve for x
    x = 711,862,409.45/30,514.57
  6. Step 6: Final answer
    x = 23,328.60

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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.