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Finding the Fourth Proportional to 76,179.68, 105,113.04 and 42,186.52

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Solution

The fourth proportional to 76,179.68, 105,113.04 and 42,186.52 is: 58,209.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,179.68 : 105,113.04 = 42,186.52 : x
  2. Step 2: Convert to fraction form
    76,179.68/105,113.04 = 42,186.52/x
  3. Step 3: Cross multiply
    76,179.68x = 105,113.04 × 42,186.52
  4. Step 4: Simplify right side
    76,179.68x = 4,434,353,364.22
  5. Step 5: Solve for x
    x = 4,434,353,364.22/76,179.68
  6. Step 6: Final answer
    x = 58,209.14

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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.