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Finding the Fourth Proportional to 84,386.46, 116,398.44 and 54,123.84

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Solution

The fourth proportional to 84,386.46, 116,398.44 and 54,123.84 is: 74,655.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,386.46 : 116,398.44 = 54,123.84 : x
  2. Step 2: Convert to fraction form
    84,386.46/116,398.44 = 54,123.84/x
  3. Step 3: Cross multiply
    84,386.46x = 116,398.44 × 54,123.84
  4. Step 4: Simplify right side
    84,386.46x = 6,299,930,542.81
  5. Step 5: Solve for x
    x = 6,299,930,542.81/84,386.46
  6. Step 6: Final answer
    x = 74,655.70

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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.