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Finding the Fourth Proportional to 188,692.32, 283,041.36 and 48,447.84

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Solution

The fourth proportional to 188,692.32, 283,041.36 and 48,447.84 is: 72,672.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,692.32 : 283,041.36 = 48,447.84 : x
  2. Step 2: Convert to fraction form
    188,692.32/283,041.36 = 48,447.84/x
  3. Step 3: Cross multiply
    188,692.32x = 283,041.36 × 48,447.84
  4. Step 4: Simplify right side
    188,692.32x = 13,712,742,522.66
  5. Step 5: Solve for x
    x = 13,712,742,522.66/188,692.32
  6. Step 6: Final answer
    x = 72,672.50

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Why These Related Problems?

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