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Finding the Fourth Proportional to 56,973.76, 78,602.88 and 35,745.28

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Solution

The fourth proportional to 56,973.76, 78,602.88 and 35,745.28 is: 49,315.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,973.76 : 78,602.88 = 35,745.28 : x
  2. Step 2: Convert to fraction form
    56,973.76/78,602.88 = 35,745.28/x
  3. Step 3: Cross multiply
    56,973.76x = 78,602.88 × 35,745.28
  4. Step 4: Simplify right side
    56,973.76x = 2,809,681,954.41
  5. Step 5: Solve for x
    x = 2,809,681,954.41/56,973.76
  6. Step 6: Final answer
    x = 49,315.37

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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.