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Finding the Fourth Proportional to 56,442.76, 84,678.22 and 39,835.23

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Solution

The fourth proportional to 56,442.76, 84,678.22 and 39,835.23 is: 59,762.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,442.76 : 84,678.22 = 39,835.23 : x
  2. Step 2: Convert to fraction form
    56,442.76/84,678.22 = 39,835.23/x
  3. Step 3: Cross multiply
    56,442.76x = 84,678.22 × 39,835.23
  4. Step 4: Simplify right side
    56,442.76x = 3,373,176,369.69
  5. Step 5: Solve for x
    x = 3,373,176,369.69/56,442.76
  6. Step 6: Final answer
    x = 59,762.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.