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Finding the Fourth Proportional to 42,447.60, 63,671.40 and 20,271.60

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Solution

The fourth proportional to 42,447.60, 63,671.40 and 20,271.60 is: 30,407.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,447.60 : 63,671.40 = 20,271.60 : x
  2. Step 2: Convert to fraction form
    42,447.60/63,671.40 = 20,271.60/x
  3. Step 3: Cross multiply
    42,447.60x = 63,671.40 × 20,271.60
  4. Step 4: Simplify right side
    42,447.60x = 1,290,721,152.24
  5. Step 5: Solve for x
    x = 1,290,721,152.24/42,447.60
  6. Step 6: Final answer
    x = 30,407.40

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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.