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Finding the Fourth Proportional to 77,101.44, 106,404 and 46,881.84

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Solution

The fourth proportional to 77,101.44, 106,404 and 46,881.84 is: 64,699.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,101.44 : 106,404 = 46,881.84 : x
  2. Step 2: Convert to fraction form
    77,101.44/106,404 = 46,881.84/x
  3. Step 3: Cross multiply
    77,101.44x = 106,404 × 46,881.84
  4. Step 4: Simplify right side
    77,101.44x = 4,988,415,303.36
  5. Step 5: Solve for x
    x = 4,988,415,303.36/77,101.44
  6. Step 6: Final answer
    x = 64,699.38

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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.