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Finding the Fourth Proportional to 56,679.38, 78,212.70 and 32,807.54

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Solution

The fourth proportional to 56,679.38, 78,212.70 and 32,807.54 is: 45,271.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,679.38 : 78,212.70 = 32,807.54 : x
  2. Step 2: Convert to fraction form
    56,679.38/78,212.70 = 32,807.54/x
  3. Step 3: Cross multiply
    56,679.38x = 78,212.70 × 32,807.54
  4. Step 4: Simplify right side
    56,679.38x = 2,565,966,283.76
  5. Step 5: Solve for x
    x = 2,565,966,283.76/56,679.38
  6. Step 6: Final answer
    x = 45,271.60

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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.