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Finding the Fourth Proportional to 70,563.14, 97,378.98 and 40,353.38

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Solution

The fourth proportional to 70,563.14, 97,378.98 and 40,353.38 is: 55,688.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,563.14 : 97,378.98 = 40,353.38 : x
  2. Step 2: Convert to fraction form
    70,563.14/97,378.98 = 40,353.38/x
  3. Step 3: Cross multiply
    70,563.14x = 97,378.98 × 40,353.38
  4. Step 4: Simplify right side
    70,563.14x = 3,929,570,983.95
  5. Step 5: Solve for x
    x = 3,929,570,983.95/70,563.14
  6. Step 6: Final answer
    x = 55,688.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.