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Finding the Fourth Proportional to 83,911.48, 115,798.62 and 46,186

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Solution

The fourth proportional to 83,911.48, 115,798.62 and 46,186 is: 63,737.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,911.48 : 115,798.62 = 46,186 : x
  2. Step 2: Convert to fraction form
    83,911.48/115,798.62 = 46,186/x
  3. Step 3: Cross multiply
    83,911.48x = 115,798.62 × 46,186
  4. Step 4: Simplify right side
    83,911.48x = 5,348,275,063.32
  5. Step 5: Solve for x
    x = 5,348,275,063.32/83,911.48
  6. Step 6: Final answer
    x = 63,737.11

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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.