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Finding the Fourth Proportional to 77,952.15, 116,820.63 and 35,727.21

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Solution

The fourth proportional to 77,952.15, 116,820.63 and 35,727.21 is: 53,541.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,952.15 : 116,820.63 = 35,727.21 : x
  2. Step 2: Convert to fraction form
    77,952.15/116,820.63 = 35,727.21/x
  3. Step 3: Cross multiply
    77,952.15x = 116,820.63 × 35,727.21
  4. Step 4: Simplify right side
    77,952.15x = 4,173,675,180.34
  5. Step 5: Solve for x
    x = 4,173,675,180.34/77,952.15
  6. Step 6: Final answer
    x = 53,541.50

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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.