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Finding the Fourth Proportional to 76,177.34, 114,339.90 and 36,762.20

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Solution

The fourth proportional to 76,177.34, 114,339.90 and 36,762.20 is: 55,178.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,177.34 : 114,339.90 = 36,762.20 : x
  2. Step 2: Convert to fraction form
    76,177.34/114,339.90 = 36,762.20/x
  3. Step 3: Cross multiply
    76,177.34x = 114,339.90 × 36,762.20
  4. Step 4: Simplify right side
    76,177.34x = 4,203,386,271.78
  5. Step 5: Solve for x
    x = 4,203,386,271.78/76,177.34
  6. Step 6: Final answer
    x = 55,178.96

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