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Finding the Fourth Proportional to 42,827.60, 64,246.20 and 13,245.20

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Solution

The fourth proportional to 42,827.60, 64,246.20 and 13,245.20 is: 19,869.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,827.60 : 64,246.20 = 13,245.20 : x
  2. Step 2: Convert to fraction form
    42,827.60/64,246.20 = 13,245.20/x
  3. Step 3: Cross multiply
    42,827.60x = 64,246.20 × 13,245.20
  4. Step 4: Simplify right side
    42,827.60x = 850,953,768.24
  5. Step 5: Solve for x
    x = 850,953,768.24/42,827.60
  6. Step 6: Final answer
    x = 19,869.28

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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.