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Finding the Fourth Proportional to 30,897.24, 42,638.08 and 16,750.08

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Solution

The fourth proportional to 30,897.24, 42,638.08 and 16,750.08 is: 23,115.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,897.24 : 42,638.08 = 16,750.08 : x
  2. Step 2: Convert to fraction form
    30,897.24/42,638.08 = 16,750.08/x
  3. Step 3: Cross multiply
    30,897.24x = 42,638.08 × 16,750.08
  4. Step 4: Simplify right side
    30,897.24x = 714,191,251.05
  5. Step 5: Solve for x
    x = 714,191,251.05/30,897.24
  6. Step 6: Final answer
    x = 23,115.05

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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.