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Finding the Fourth Proportional to 83,590.63, 125,406.20 and 48,074.68

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Solution

The fourth proportional to 83,590.63, 125,406.20 and 48,074.68 is: 72,123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,590.63 : 125,406.20 = 48,074.68 : x
  2. Step 2: Convert to fraction form
    83,590.63/125,406.20 = 48,074.68/x
  3. Step 3: Cross multiply
    83,590.63x = 125,406.20 × 48,074.68
  4. Step 4: Simplify right side
    83,590.63x = 6,028,862,935.02
  5. Step 5: Solve for x
    x = 6,028,862,935.02/83,590.63
  6. Step 6: Final answer
    x = 72,123.67

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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.