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Finding the Fourth Proportional to 56,766.54, 78,337.84 and 32,907.10

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Solution

The fourth proportional to 56,766.54, 78,337.84 and 32,907.10 is: 45,411.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,766.54 : 78,337.84 = 32,907.10 : x
  2. Step 2: Convert to fraction form
    56,766.54/78,337.84 = 32,907.10/x
  3. Step 3: Cross multiply
    56,766.54x = 78,337.84 × 32,907.10
  4. Step 4: Simplify right side
    56,766.54x = 2,577,871,134.66
  5. Step 5: Solve for x
    x = 2,577,871,134.66/56,766.54
  6. Step 6: Final answer
    x = 45,411.81

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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.