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Finding the Fourth Proportional to 77,783.40, 116,646.48 and 27,849.96

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Solution

The fourth proportional to 77,783.40, 116,646.48 and 27,849.96 is: 41,764.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,783.40 : 116,646.48 = 27,849.96 : x
  2. Step 2: Convert to fraction form
    77,783.40/116,646.48 = 27,849.96/x
  3. Step 3: Cross multiply
    77,783.40x = 116,646.48 × 27,849.96
  4. Step 4: Simplify right side
    77,783.40x = 3,248,599,802.14
  5. Step 5: Solve for x
    x = 3,248,599,802.14/77,783.40
  6. Step 6: Final answer
    x = 41,764.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.