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Finding the Fourth Proportional to 76,095.46, 105,014.83 and 42,103.40

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Solution

The fourth proportional to 76,095.46, 105,014.83 and 42,103.40 is: 58,104.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,095.46 : 105,014.83 = 42,103.40 : x
  2. Step 2: Convert to fraction form
    76,095.46/105,014.83 = 42,103.40/x
  3. Step 3: Cross multiply
    76,095.46x = 105,014.83 × 42,103.40
  4. Step 4: Simplify right side
    76,095.46x = 4,421,481,157.50
  5. Step 5: Solve for x
    x = 4,421,481,157.50/76,095.46
  6. Step 6: Final answer
    x = 58,104.40

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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.