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Finding the Fourth Proportional to 77,455.17, 116,188.31 and 32,431.21

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Solution

The fourth proportional to 77,455.17, 116,188.31 and 32,431.21 is: 48,649.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,455.17 : 116,188.31 = 32,431.21 : x
  2. Step 2: Convert to fraction form
    77,455.17/116,188.31 = 32,431.21/x
  3. Step 3: Cross multiply
    77,455.17x = 116,188.31 × 32,431.21
  4. Step 4: Simplify right side
    77,455.17x = 3,768,127,271.76
  5. Step 5: Solve for x
    x = 3,768,127,271.76/77,455.17
  6. Step 6: Final answer
    x = 48,649.14

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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.