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Finding the Fourth Proportional to 55,828.14, 83,742.78 and 16,386

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Solution

The fourth proportional to 55,828.14, 83,742.78 and 16,386 is: 24,579.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,828.14 : 83,742.78 = 16,386 : x
  2. Step 2: Convert to fraction form
    55,828.14/83,742.78 = 16,386/x
  3. Step 3: Cross multiply
    55,828.14x = 83,742.78 × 16,386
  4. Step 4: Simplify right side
    55,828.14x = 1,372,209,193.08
  5. Step 5: Solve for x
    x = 1,372,209,193.08/55,828.14
  6. Step 6: Final answer
    x = 24,579.17

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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.