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Finding the Fourth Proportional to 77,545, 116,223.58 and 35,367.28

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Solution

The fourth proportional to 77,545, 116,223.58 and 35,367.28 is: 53,008.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,545 : 116,223.58 = 35,367.28 : x
  2. Step 2: Convert to fraction form
    77,545/116,223.58 = 35,367.28/x
  3. Step 3: Cross multiply
    77,545x = 116,223.58 × 35,367.28
  4. Step 4: Simplify right side
    77,545x = 4,110,511,896.46
  5. Step 5: Solve for x
    x = 4,110,511,896.46/77,545
  6. Step 6: Final answer
    x = 53,008.08

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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.