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Finding the Fourth Proportional to 76,508.68, 114,716.04 and 26,567.32

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Solution

The fourth proportional to 76,508.68, 114,716.04 and 26,567.32 is: 39,834.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,508.68 : 114,716.04 = 26,567.32 : x
  2. Step 2: Convert to fraction form
    76,508.68/114,716.04 = 26,567.32/x
  3. Step 3: Cross multiply
    76,508.68x = 114,716.04 × 26,567.32
  4. Step 4: Simplify right side
    76,508.68x = 3,047,697,743.81
  5. Step 5: Solve for x
    x = 3,047,697,743.81/76,508.68
  6. Step 6: Final answer
    x = 39,834.67

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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.