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Finding the Fourth Proportional to 76,210.16, 105,221.34 and 47,573.42

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Solution

The fourth proportional to 76,210.16, 105,221.34 and 47,573.42 is: 65,683.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,210.16 : 105,221.34 = 47,573.42 : x
  2. Step 2: Convert to fraction form
    76,210.16/105,221.34 = 47,573.42/x
  3. Step 3: Cross multiply
    76,210.16x = 105,221.34 × 47,573.42
  4. Step 4: Simplify right side
    76,210.16x = 5,005,738,474.68
  5. Step 5: Solve for x
    x = 5,005,738,474.68/76,210.16
  6. Step 6: Final answer
    x = 65,683.35

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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.