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Finding the Fourth Proportional to 83,935, 115,830.30 and 46,212.76

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Solution

The fourth proportional to 83,935, 115,830.30 and 46,212.76 is: 63,773.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,935 : 115,830.30 = 46,212.76 : x
  2. Step 2: Convert to fraction form
    83,935/115,830.30 = 46,212.76/x
  3. Step 3: Cross multiply
    83,935x = 115,830.30 × 46,212.76
  4. Step 4: Simplify right side
    83,935x = 5,352,837,854.63
  5. Step 5: Solve for x
    x = 5,352,837,854.63/83,935
  6. Step 6: Final answer
    x = 63,773.61

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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.