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Finding the Fourth Proportional to 77,767.40, 116,651.10 and 31,053.80

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Solution

The fourth proportional to 77,767.40, 116,651.10 and 31,053.80 is: 46,580.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,767.40 : 116,651.10 = 31,053.80 : x
  2. Step 2: Convert to fraction form
    77,767.40/116,651.10 = 31,053.80/x
  3. Step 3: Cross multiply
    77,767.40x = 116,651.10 × 31,053.80
  4. Step 4: Simplify right side
    77,767.40x = 3,622,459,929.18
  5. Step 5: Solve for x
    x = 3,622,459,929.18/77,767.40
  6. Step 6: Final answer
    x = 46,580.70

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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.