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Finding the Fourth Proportional to 30,903.32, 42,646.17 and 16,755.86

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Solution

The fourth proportional to 30,903.32, 42,646.17 and 16,755.86 is: 23,122.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,903.32 : 42,646.17 = 16,755.86 : x
  2. Step 2: Convert to fraction form
    30,903.32/42,646.17 = 16,755.86/x
  3. Step 3: Cross multiply
    30,903.32x = 42,646.17 × 16,755.86
  4. Step 4: Simplify right side
    30,903.32x = 714,573,254.06
  5. Step 5: Solve for x
    x = 714,573,254.06/30,903.32
  6. Step 6: Final answer
    x = 23,122.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.