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Finding the Fourth Proportional to 64,178.76, 88,574.94 and 35,886

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Solution

The fourth proportional to 64,178.76, 88,574.94 and 35,886 is: 49,527.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,178.76 : 88,574.94 = 35,886 : x
  2. Step 2: Convert to fraction form
    64,178.76/88,574.94 = 35,886/x
  3. Step 3: Cross multiply
    64,178.76x = 88,574.94 × 35,886
  4. Step 4: Simplify right side
    64,178.76x = 3,178,600,296.84
  5. Step 5: Solve for x
    x = 3,178,600,296.84/64,178.76
  6. Step 6: Final answer
    x = 49,527.29

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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.