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Finding the Fourth Proportional to 56,087.64, 77,375.10 and 35,934.84

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Solution

The fourth proportional to 56,087.64, 77,375.10 and 35,934.84 is: 49,573.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,087.64 : 77,375.10 = 35,934.84 : x
  2. Step 2: Convert to fraction form
    56,087.64/77,375.10 = 35,934.84/x
  3. Step 3: Cross multiply
    56,087.64x = 77,375.10 × 35,934.84
  4. Step 4: Simplify right side
    56,087.64x = 2,780,461,838.48
  5. Step 5: Solve for x
    x = 2,780,461,838.48/56,087.64
  6. Step 6: Final answer
    x = 49,573.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.