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Finding the Fourth Proportional to 32,816.80, 49,219.26 and 9,437.50

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Solution

The fourth proportional to 32,816.80, 49,219.26 and 9,437.50 is: 14,154.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,816.80 : 49,219.26 = 9,437.50 : x
  2. Step 2: Convert to fraction form
    32,816.80/49,219.26 = 9,437.50/x
  3. Step 3: Cross multiply
    32,816.80x = 49,219.26 × 9,437.50
  4. Step 4: Simplify right side
    32,816.80x = 464,506,766.25
  5. Step 5: Solve for x
    x = 464,506,766.25/32,816.80
  6. Step 6: Final answer
    x = 14,154.54

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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.