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Finding the Fourth Proportional to 56,796.71, 78,392.82 and 35,302.70

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Solution

The fourth proportional to 56,796.71, 78,392.82 and 35,302.70 is: 48,726.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,796.71 : 78,392.82 = 35,302.70 : x
  2. Step 2: Convert to fraction form
    56,796.71/78,392.82 = 35,302.70/x
  3. Step 3: Cross multiply
    56,796.71x = 78,392.82 × 35,302.70
  4. Step 4: Simplify right side
    56,796.71x = 2,767,477,814.65
  5. Step 5: Solve for x
    x = 2,767,477,814.65/56,796.71
  6. Step 6: Final answer
    x = 48,726.03

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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.