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Finding the Fourth Proportional to 56,357.38, 77,772.62 and 30,515.80

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Solution

The fourth proportional to 56,357.38, 77,772.62 and 30,515.80 is: 42,111.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,357.38 : 77,772.62 = 30,515.80 : x
  2. Step 2: Convert to fraction form
    56,357.38/77,772.62 = 30,515.80/x
  3. Step 3: Cross multiply
    56,357.38x = 77,772.62 × 30,515.80
  4. Step 4: Simplify right side
    56,357.38x = 2,373,293,717.40
  5. Step 5: Solve for x
    x = 2,373,293,717.40/56,357.38
  6. Step 6: Final answer
    x = 42,111.50

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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.