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Finding the Fourth Proportional to 42,047.85, 63,072.03 and 12,465.96

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Solution

The fourth proportional to 42,047.85, 63,072.03 and 12,465.96 is: 18,699.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,047.85 : 63,072.03 = 12,465.96 : x
  2. Step 2: Convert to fraction form
    42,047.85/63,072.03 = 12,465.96/x
  3. Step 3: Cross multiply
    42,047.85x = 63,072.03 × 12,465.96
  4. Step 4: Simplify right side
    42,047.85x = 786,253,403.10
  5. Step 5: Solve for x
    x = 786,253,403.10/42,047.85
  6. Step 6: Final answer
    x = 18,699.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.