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Finding the Fourth Proportional to 70,982.56, 97,866 and 46,779.76

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Solution

The fourth proportional to 70,982.56, 97,866 and 46,779.76 is: 64,496.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,982.56 : 97,866 = 46,779.76 : x
  2. Step 2: Convert to fraction form
    70,982.56/97,866 = 46,779.76/x
  3. Step 3: Cross multiply
    70,982.56x = 97,866 × 46,779.76
  4. Step 4: Simplify right side
    70,982.56x = 4,578,147,992.16
  5. Step 5: Solve for x
    x = 4,578,147,992.16/70,982.56
  6. Step 6: Final answer
    x = 64,496.80

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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.