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Finding the Fourth Proportional to 42,412.10, 63,601.95 and 12,820.10

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Solution

The fourth proportional to 42,412.10, 63,601.95 and 12,820.10 is: 19,225.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,412.10 : 63,601.95 = 12,820.10 : x
  2. Step 2: Convert to fraction form
    42,412.10/63,601.95 = 12,820.10/x
  3. Step 3: Cross multiply
    42,412.10x = 63,601.95 × 12,820.10
  4. Step 4: Simplify right side
    42,412.10x = 815,383,359.20
  5. Step 5: Solve for x
    x = 815,383,359.20/42,412.10
  6. Step 6: Final answer
    x = 19,225.25

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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.