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Finding the Fourth Proportional to 70,973.94, 97,941.32 and 39,142.85

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Solution

The fourth proportional to 70,973.94, 97,941.32 and 39,142.85 is: 54,015.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,973.94 : 97,941.32 = 39,142.85 : x
  2. Step 2: Convert to fraction form
    70,973.94/97,941.32 = 39,142.85/x
  3. Step 3: Cross multiply
    70,973.94x = 97,941.32 × 39,142.85
  4. Step 4: Simplify right side
    70,973.94x = 3,833,702,079.11
  5. Step 5: Solve for x
    x = 3,833,702,079.11/70,973.94
  6. Step 6: Final answer
    x = 54,015.63

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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.