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Finding the Fourth Proportional to 70,340.10, 97,071.96 and 40,130.34

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Solution

The fourth proportional to 70,340.10, 97,071.96 and 40,130.34 is: 55,381.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,340.10 : 97,071.96 = 40,130.34 : x
  2. Step 2: Convert to fraction form
    70,340.10/97,071.96 = 40,130.34/x
  3. Step 3: Cross multiply
    70,340.10x = 97,071.96 × 40,130.34
  4. Step 4: Simplify right side
    70,340.10x = 3,895,530,759.27
  5. Step 5: Solve for x
    x = 3,895,530,759.27/70,340.10
  6. Step 6: Final answer
    x = 55,381.37

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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.