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Finding the Fourth Proportional to 54,297.96, 74,886.76 and 38,218.50

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Solution

The fourth proportional to 54,297.96, 74,886.76 and 38,218.50 is: 52,710.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,297.96 : 74,886.76 = 38,218.50 : x
  2. Step 2: Convert to fraction form
    54,297.96/74,886.76 = 38,218.50/x
  3. Step 3: Cross multiply
    54,297.96x = 74,886.76 × 38,218.50
  4. Step 4: Simplify right side
    54,297.96x = 2,862,059,943.71
  5. Step 5: Solve for x
    x = 2,862,059,943.71/54,297.96
  6. Step 6: Final answer
    x = 52,710.26

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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.