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Finding the Fourth Proportional to 77,404.50, 116,117.10 and 30,646.44

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Solution

The fourth proportional to 77,404.50, 116,117.10 and 30,646.44 is: 45,973.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,404.50 : 116,117.10 = 30,646.44 : x
  2. Step 2: Convert to fraction form
    77,404.50/116,117.10 = 30,646.44/x
  3. Step 3: Cross multiply
    77,404.50x = 116,117.10 × 30,646.44
  4. Step 4: Simplify right side
    77,404.50x = 3,558,575,738.12
  5. Step 5: Solve for x
    x = 3,558,575,738.12/77,404.50
  6. Step 6: Final answer
    x = 45,973.76

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