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Finding the Fourth Proportional to 71,506.88, 107,120.80 and 46,808

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Solution

The fourth proportional to 71,506.88, 107,120.80 and 46,808 is: 70,120.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,506.88 : 107,120.80 = 46,808 : x
  2. Step 2: Convert to fraction form
    71,506.88/107,120.80 = 46,808/x
  3. Step 3: Cross multiply
    71,506.88x = 107,120.80 × 46,808
  4. Step 4: Simplify right side
    71,506.88x = 5,014,110,406.40
  5. Step 5: Solve for x
    x = 5,014,110,406.40/71,506.88
  6. Step 6: Final answer
    x = 70,120.67

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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.