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Finding the Fourth Proportional to 76,404, 105,436.68 and 42,412.76

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Solution

The fourth proportional to 76,404, 105,436.68 and 42,412.76 is: 58,529.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,404 : 105,436.68 = 42,412.76 : x
  2. Step 2: Convert to fraction form
    76,404/105,436.68 = 42,412.76/x
  3. Step 3: Cross multiply
    76,404x = 105,436.68 × 42,412.76
  4. Step 4: Simplify right side
    76,404x = 4,471,860,604.04
  5. Step 5: Solve for x
    x = 4,471,860,604.04/76,404
  6. Step 6: Final answer
    x = 58,529.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.