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Finding the Fourth Proportional to 37,643, 51,948.42 and 20,877.08

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Solution

The fourth proportional to 37,643, 51,948.42 and 20,877.08 is: 28,810.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,643 : 51,948.42 = 20,877.08 : x
  2. Step 2: Convert to fraction form
    37,643/51,948.42 = 20,877.08/x
  3. Step 3: Cross multiply
    37,643x = 51,948.42 × 20,877.08
  4. Step 4: Simplify right side
    37,643x = 1,084,531,320.21
  5. Step 5: Solve for x
    x = 1,084,531,320.21/37,643
  6. Step 6: Final answer
    x = 28,810.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.