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Finding the Fourth Proportional to 76,417.34, 105,456.30 and 47,753.65

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Solution

The fourth proportional to 76,417.34, 105,456.30 and 47,753.65 is: 65,900.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,417.34 : 105,456.30 = 47,753.65 : x
  2. Step 2: Convert to fraction form
    76,417.34/105,456.30 = 47,753.65/x
  3. Step 3: Cross multiply
    76,417.34x = 105,456.30 × 47,753.65
  4. Step 4: Simplify right side
    76,417.34x = 5,035,923,240.50
  5. Step 5: Solve for x
    x = 5,035,923,240.50/76,417.34
  6. Step 6: Final answer
    x = 65,900.27

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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.