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Finding the Fourth Proportional to 45,978.48, 63,394.64 and 35,772.48

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Solution

The fourth proportional to 45,978.48, 63,394.64 and 35,772.48 is: 49,322.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,978.48 : 63,394.64 = 35,772.48 : x
  2. Step 2: Convert to fraction form
    45,978.48/63,394.64 = 35,772.48/x
  3. Step 3: Cross multiply
    45,978.48x = 63,394.64 × 35,772.48
  4. Step 4: Simplify right side
    45,978.48x = 2,267,783,491.51
  5. Step 5: Solve for x
    x = 2,267,783,491.51/45,978.48
  6. Step 6: Final answer
    x = 49,322.72

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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.