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Finding the Fourth Proportional to 40,816.48, 61,218.96 and 12,730

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Solution

The fourth proportional to 40,816.48, 61,218.96 and 12,730 is: 19,093.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,816.48 : 61,218.96 = 12,730 : x
  2. Step 2: Convert to fraction form
    40,816.48/61,218.96 = 12,730/x
  3. Step 3: Cross multiply
    40,816.48x = 61,218.96 × 12,730
  4. Step 4: Simplify right side
    40,816.48x = 779,317,360.80
  5. Step 5: Solve for x
    x = 779,317,360.80/40,816.48
  6. Step 6: Final answer
    x = 19,093.20

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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.