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Finding the Fourth Proportional to 77,908.64, 116,822.93 and 35,752.43

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Solution

The fourth proportional to 77,908.64, 116,822.93 and 35,752.43 is: 53,610.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,908.64 : 116,822.93 = 35,752.43 : x
  2. Step 2: Convert to fraction form
    77,908.64/116,822.93 = 35,752.43/x
  3. Step 3: Cross multiply
    77,908.64x = 116,822.93 × 35,752.43
  4. Step 4: Simplify right side
    77,908.64x = 4,176,702,864.34
  5. Step 5: Solve for x
    x = 4,176,702,864.34/77,908.64
  6. Step 6: Final answer
    x = 53,610.27

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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.