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Finding the Fourth Proportional to 70,975.14, 97,941.47 and 40,765.38

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Solution

The fourth proportional to 70,975.14, 97,941.47 and 40,765.38 is: 56,253.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,975.14 : 97,941.47 = 40,765.38 : x
  2. Step 2: Convert to fraction form
    70,975.14/97,941.47 = 40,765.38/x
  3. Step 3: Cross multiply
    70,975.14x = 97,941.47 × 40,765.38
  4. Step 4: Simplify right side
    70,975.14x = 3,992,621,038.48
  5. Step 5: Solve for x
    x = 3,992,621,038.48/70,975.14
  6. Step 6: Final answer
    x = 56,253.80

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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.