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Finding the Fourth Proportional to 84,090, 116,045.11 and 45,849.24

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Solution

The fourth proportional to 84,090, 116,045.11 and 45,849.24 is: 63,272.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,090 : 116,045.11 = 45,849.24 : x
  2. Step 2: Convert to fraction form
    84,090/116,045.11 = 45,849.24/x
  3. Step 3: Cross multiply
    84,090x = 116,045.11 × 45,849.24
  4. Step 4: Simplify right side
    84,090x = 5,320,579,984.59
  5. Step 5: Solve for x
    x = 5,320,579,984.59/84,090
  6. Step 6: Final answer
    x = 63,272.45

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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.