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Finding the Fourth Proportional to 56,415.90, 77,889.32 and 36,307.69

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Solution

The fourth proportional to 56,415.90, 77,889.32 and 36,307.69 is: 50,127.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,415.90 : 77,889.32 = 36,307.69 : x
  2. Step 2: Convert to fraction form
    56,415.90/77,889.32 = 36,307.69/x
  3. Step 3: Cross multiply
    56,415.90x = 77,889.32 × 36,307.69
  4. Step 4: Simplify right side
    56,415.90x = 2,827,981,284.87
  5. Step 5: Solve for x
    x = 2,827,981,284.87/56,415.90
  6. Step 6: Final answer
    x = 50,127.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.