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Finding the Fourth Proportional to 125,806.50, 188,709.75 and 32,312.25

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Solution

The fourth proportional to 125,806.50, 188,709.75 and 32,312.25 is: 48,468.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,806.50 : 188,709.75 = 32,312.25 : x
  2. Step 2: Convert to fraction form
    125,806.50/188,709.75 = 32,312.25/x
  3. Step 3: Cross multiply
    125,806.50x = 188,709.75 × 32,312.25
  4. Step 4: Simplify right side
    125,806.50x = 6,097,636,619.44
  5. Step 5: Solve for x
    x = 6,097,636,619.44/125,806.50
  6. Step 6: Final answer
    x = 48,468.38

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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.