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Finding the Fourth Proportional to 84,382.47, 116,446.53 and 46,142.14

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Solution

The fourth proportional to 84,382.47, 116,446.53 and 46,142.14 is: 63,675.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,382.47 : 116,446.53 = 46,142.14 : x
  2. Step 2: Convert to fraction form
    84,382.47/116,446.53 = 46,142.14/x
  3. Step 3: Cross multiply
    84,382.47x = 116,446.53 × 46,142.14
  4. Step 4: Simplify right side
    84,382.47x = 5,373,092,089.77
  5. Step 5: Solve for x
    x = 5,373,092,089.77/84,382.47
  6. Step 6: Final answer
    x = 63,675.45

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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.