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Finding the Fourth Proportional to 77,651.74, 116,531.46 and 35,536.96

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Solution

The fourth proportional to 77,651.74, 116,531.46 and 35,536.96 is: 53,330.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,651.74 : 116,531.46 = 35,536.96 : x
  2. Step 2: Convert to fraction form
    77,651.74/116,531.46 = 35,536.96/x
  3. Step 3: Cross multiply
    77,651.74x = 116,531.46 × 35,536.96
  4. Step 4: Simplify right side
    77,651.74x = 4,141,173,832.76
  5. Step 5: Solve for x
    x = 4,141,173,832.76/77,651.74
  6. Step 6: Final answer
    x = 53,330.08

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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.