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Finding the Fourth Proportional to 56,756.85, 78,312.51 and 32,882.10

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Solution

The fourth proportional to 56,756.85, 78,312.51 and 32,882.10 is: 45,370.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,756.85 : 78,312.51 = 32,882.10 : x
  2. Step 2: Convert to fraction form
    56,756.85/78,312.51 = 32,882.10/x
  3. Step 3: Cross multiply
    56,756.85x = 78,312.51 × 32,882.10
  4. Step 4: Simplify right side
    56,756.85x = 2,575,079,785.07
  5. Step 5: Solve for x
    x = 2,575,079,785.07/56,756.85
  6. Step 6: Final answer
    x = 45,370.38

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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.