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Finding the Fourth Proportional to 84,642.24, 116,805.96 and 46,402

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Solution

The fourth proportional to 84,642.24, 116,805.96 and 46,402 is: 64,034.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,642.24 : 116,805.96 = 46,402 : x
  2. Step 2: Convert to fraction form
    84,642.24/116,805.96 = 46,402/x
  3. Step 3: Cross multiply
    84,642.24x = 116,805.96 × 46,402
  4. Step 4: Simplify right side
    84,642.24x = 5,420,030,155.92
  5. Step 5: Solve for x
    x = 5,420,030,155.92/84,642.24
  6. Step 6: Final answer
    x = 64,034.58

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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.