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Finding the Fourth Proportional to 70,641, 97,493.22 and 40,833

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Solution

The fourth proportional to 70,641, 97,493.22 and 40,833 is: 56,354.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,641 : 97,493.22 = 40,833 : x
  2. Step 2: Convert to fraction form
    70,641/97,493.22 = 40,833/x
  3. Step 3: Cross multiply
    70,641x = 97,493.22 × 40,833
  4. Step 4: Simplify right side
    70,641x = 3,980,940,652.26
  5. Step 5: Solve for x
    x = 3,980,940,652.26/70,641
  6. Step 6: Final answer
    x = 56,354.53

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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.