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Finding the Fourth Proportional to 78,562.71, 117,774.36 and 28,633.50

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Solution

The fourth proportional to 78,562.71, 117,774.36 and 28,633.50 is: 42,924.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,562.71 : 117,774.36 = 28,633.50 : x
  2. Step 2: Convert to fraction form
    78,562.71/117,774.36 = 28,633.50/x
  3. Step 3: Cross multiply
    78,562.71x = 117,774.36 × 28,633.50
  4. Step 4: Simplify right side
    78,562.71x = 3,372,292,137.06
  5. Step 5: Solve for x
    x = 3,372,292,137.06/78,562.71
  6. Step 6: Final answer
    x = 42,924.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.