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Finding the Fourth Proportional to 84,326.18, 116,365.55 and 46,598

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Solution

The fourth proportional to 84,326.18, 116,365.55 and 46,598 is: 64,302.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,326.18 : 116,365.55 = 46,598 : x
  2. Step 2: Convert to fraction form
    84,326.18/116,365.55 = 46,598/x
  3. Step 3: Cross multiply
    84,326.18x = 116,365.55 × 46,598
  4. Step 4: Simplify right side
    84,326.18x = 5,422,401,898.90
  5. Step 5: Solve for x
    x = 5,422,401,898.90/84,326.18
  6. Step 6: Final answer
    x = 64,302.71

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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.