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Finding the Fourth Proportional to 70,461.58, 97,232.13 and 41,779.78

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Solution

The fourth proportional to 70,461.58, 97,232.13 and 41,779.78 is: 57,653.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,461.58 : 97,232.13 = 41,779.78 : x
  2. Step 2: Convert to fraction form
    70,461.58/97,232.13 = 41,779.78/x
  3. Step 3: Cross multiply
    70,461.58x = 97,232.13 × 41,779.78
  4. Step 4: Simplify right side
    70,461.58x = 4,062,337,000.33
  5. Step 5: Solve for x
    x = 4,062,337,000.33/70,461.58
  6. Step 6: Final answer
    x = 57,653.22

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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.