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Finding the Fourth Proportional to 56,754.16, 78,320.74 and 32,894.67

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Solution

The fourth proportional to 56,754.16, 78,320.74 and 32,894.67 is: 45,394.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,754.16 : 78,320.74 = 32,894.67 : x
  2. Step 2: Convert to fraction form
    56,754.16/78,320.74 = 32,894.67/x
  3. Step 3: Cross multiply
    56,754.16x = 78,320.74 × 32,894.67
  4. Step 4: Simplify right side
    56,754.16x = 2,576,334,896.46
  5. Step 5: Solve for x
    x = 2,576,334,896.46/56,754.16
  6. Step 6: Final answer
    x = 45,394.64

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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.