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Finding the Fourth Proportional to 84,740.81, 116,938.41 and 46,499.43

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Solution

The fourth proportional to 84,740.81, 116,938.41 and 46,499.43 is: 64,167.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,740.81 : 116,938.41 = 46,499.43 : x
  2. Step 2: Convert to fraction form
    84,740.81/116,938.41 = 46,499.43/x
  3. Step 3: Cross multiply
    84,740.81x = 116,938.41 × 46,499.43
  4. Step 4: Simplify right side
    84,740.81x = 5,437,569,410.11
  5. Step 5: Solve for x
    x = 5,437,569,410.11/84,740.81
  6. Step 6: Final answer
    x = 64,167.07

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Why These Related Problems?

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