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Finding the Fourth Proportional to 77,047.38, 106,337.58 and 46,842.18

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Solution

The fourth proportional to 77,047.38, 106,337.58 and 46,842.18 is: 64,649.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,047.38 : 106,337.58 = 46,842.18 : x
  2. Step 2: Convert to fraction form
    77,047.38/106,337.58 = 46,842.18/x
  3. Step 3: Cross multiply
    77,047.38x = 106,337.58 × 46,842.18
  4. Step 4: Simplify right side
    77,047.38x = 4,981,084,063.12
  5. Step 5: Solve for x
    x = 4,981,084,063.12/77,047.38
  6. Step 6: Final answer
    x = 64,649.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.