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Finding the Fourth Proportional to 77,944.64, 107,564.64 and 46,112.72

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Solution

The fourth proportional to 77,944.64, 107,564.64 and 46,112.72 is: 63,636.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,944.64 : 107,564.64 = 46,112.72 : x
  2. Step 2: Convert to fraction form
    77,944.64/107,564.64 = 46,112.72/x
  3. Step 3: Cross multiply
    77,944.64x = 107,564.64 × 46,112.72
  4. Step 4: Simplify right side
    77,944.64x = 4,960,098,126.22
  5. Step 5: Solve for x
    x = 4,960,098,126.22/77,944.64
  6. Step 6: Final answer
    x = 63,636.17

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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.