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Finding the Fourth Proportional to 76,211.34, 105,222.98 and 47,574.60

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Solution

The fourth proportional to 76,211.34, 105,222.98 and 47,574.60 is: 65,684.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,211.34 : 105,222.98 = 47,574.60 : x
  2. Step 2: Convert to fraction form
    76,211.34/105,222.98 = 47,574.60/x
  3. Step 3: Cross multiply
    76,211.34x = 105,222.98 × 47,574.60
  4. Step 4: Simplify right side
    76,211.34x = 5,005,941,184.31
  5. Step 5: Solve for x
    x = 5,005,941,184.31/76,211.34
  6. Step 6: Final answer
    x = 65,684.99

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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.