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Finding the Fourth Proportional to 77,584.68, 116,317.74 and 35,435.46

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Solution

The fourth proportional to 77,584.68, 116,317.74 and 35,435.46 is: 53,126.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,584.68 : 116,317.74 = 35,435.46 : x
  2. Step 2: Convert to fraction form
    77,584.68/116,317.74 = 35,435.46/x
  3. Step 3: Cross multiply
    77,584.68x = 116,317.74 × 35,435.46
  4. Step 4: Simplify right side
    77,584.68x = 4,121,772,623.06
  5. Step 5: Solve for x
    x = 4,121,772,623.06/77,584.68
  6. Step 6: Final answer
    x = 53,126.11

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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.