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Finding the Fourth Proportional to 48,284.48, 72,402.72 and 20,196

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Solution

The fourth proportional to 48,284.48, 72,402.72 and 20,196 is: 30,283.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,284.48 : 72,402.72 = 20,196 : x
  2. Step 2: Convert to fraction form
    48,284.48/72,402.72 = 20,196/x
  3. Step 3: Cross multiply
    48,284.48x = 72,402.72 × 20,196
  4. Step 4: Simplify right side
    48,284.48x = 1,462,245,333.12
  5. Step 5: Solve for x
    x = 1,462,245,333.12/48,284.48
  6. Step 6: Final answer
    x = 30,283.96

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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.