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Finding the Fourth Proportional to 77,410.33, 116,377.93 and 61,814.59

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Solution

The fourth proportional to 77,410.33, 116,377.93 and 61,814.59 is: 92,931.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,410.33 : 116,377.93 = 61,814.59 : x
  2. Step 2: Convert to fraction form
    77,410.33/116,377.93 = 61,814.59/x
  3. Step 3: Cross multiply
    77,410.33x = 116,377.93 × 61,814.59
  4. Step 4: Simplify right side
    77,410.33x = 7,193,854,028.00
  5. Step 5: Solve for x
    x = 7,193,854,028.00/77,410.33
  6. Step 6: Final answer
    x = 92,931.45

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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.