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Finding the Fourth Proportional to 64,857.71, 96,641.81 and 57,783.38

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Solution

The fourth proportional to 64,857.71, 96,641.81 and 57,783.38 is: 86,100.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,857.71 : 96,641.81 = 57,783.38 : x
  2. Step 2: Convert to fraction form
    64,857.71/96,641.81 = 57,783.38/x
  3. Step 3: Cross multiply
    64,857.71x = 96,641.81 × 57,783.38
  4. Step 4: Simplify right side
    64,857.71x = 5,584,289,875.68
  5. Step 5: Solve for x
    x = 5,584,289,875.68/64,857.71
  6. Step 6: Final answer
    x = 86,100.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.