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Finding the Fourth Proportional to 56,762.40, 78,325.28 and 32,885.76

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Solution

The fourth proportional to 56,762.40, 78,325.28 and 32,885.76 is: 45,378.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,762.40 : 78,325.28 = 32,885.76 : x
  2. Step 2: Convert to fraction form
    56,762.40/78,325.28 = 32,885.76/x
  3. Step 3: Cross multiply
    56,762.40x = 78,325.28 × 32,885.76
  4. Step 4: Simplify right side
    56,762.40x = 2,575,786,360.01
  5. Step 5: Solve for x
    x = 2,575,786,360.01/56,762.40
  6. Step 6: Final answer
    x = 45,378.39

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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.