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Finding the Fourth Proportional to 65,252.67, 97,879.01 and 30,187.77

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Solution

The fourth proportional to 65,252.67, 97,879.01 and 30,187.77 is: 45,281.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,252.67 : 97,879.01 = 30,187.77 : x
  2. Step 2: Convert to fraction form
    65,252.67/97,879.01 = 30,187.77/x
  3. Step 3: Cross multiply
    65,252.67x = 97,879.01 × 30,187.77
  4. Step 4: Simplify right side
    65,252.67x = 2,954,748,890.77
  5. Step 5: Solve for x
    x = 2,954,748,890.77/65,252.67
  6. Step 6: Final answer
    x = 45,281.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.