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Finding the Fourth Proportional to 37,931.64, 56,855.07 and 14,216.37

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Solution

The fourth proportional to 37,931.64, 56,855.07 and 14,216.37 is: 21,308.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,931.64 : 56,855.07 = 14,216.37 : x
  2. Step 2: Convert to fraction form
    37,931.64/56,855.07 = 14,216.37/x
  3. Step 3: Cross multiply
    37,931.64x = 56,855.07 × 14,216.37
  4. Step 4: Simplify right side
    37,931.64x = 808,272,711.50
  5. Step 5: Solve for x
    x = 808,272,711.50/37,931.64
  6. Step 6: Final answer
    x = 21,308.67

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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.