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Finding the Fourth Proportional to 56,167, 77,510.46 and 36,295

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Solution

The fourth proportional to 56,167, 77,510.46 and 36,295 is: 50,087.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,167 : 77,510.46 = 36,295 : x
  2. Step 2: Convert to fraction form
    56,167/77,510.46 = 36,295/x
  3. Step 3: Cross multiply
    56,167x = 77,510.46 × 36,295
  4. Step 4: Simplify right side
    56,167x = 2,813,242,145.70
  5. Step 5: Solve for x
    x = 2,813,242,145.70/56,167
  6. Step 6: Final answer
    x = 50,087.10

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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.