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Finding the Fourth Proportional to 56,725.66, 78,274.62 and 32,849.08

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Solution

The fourth proportional to 56,725.66, 78,274.62 and 32,849.08 is: 45,327.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,725.66 : 78,274.62 = 32,849.08 : x
  2. Step 2: Convert to fraction form
    56,725.66/78,274.62 = 32,849.08/x
  3. Step 3: Cross multiply
    56,725.66x = 78,274.62 × 32,849.08
  4. Step 4: Simplify right side
    56,725.66x = 2,571,249,254.35
  5. Step 5: Solve for x
    x = 2,571,249,254.35/56,725.66
  6. Step 6: Final answer
    x = 45,327.80

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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.