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Finding the Fourth Proportional to 77,484.20, 116,085.96 and 65,083.91

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Solution

The fourth proportional to 77,484.20, 116,085.96 and 65,083.91 is: 97,507.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,484.20 : 116,085.96 = 65,083.91 : x
  2. Step 2: Convert to fraction form
    77,484.20/116,085.96 = 65,083.91/x
  3. Step 3: Cross multiply
    77,484.20x = 116,085.96 × 65,083.91
  4. Step 4: Simplify right side
    77,484.20x = 7,555,327,592.47
  5. Step 5: Solve for x
    x = 7,555,327,592.47/77,484.20
  6. Step 6: Final answer
    x = 97,507.98

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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.