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Finding the Fourth Proportional to 32,810.12, 49,223.00 and 10,623.50

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Solution

The fourth proportional to 32,810.12, 49,223.00 and 10,623.50 is: 15,937.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,810.12 : 49,223.00 = 10,623.50 : x
  2. Step 2: Convert to fraction form
    32,810.12/49,223.00 = 10,623.50/x
  3. Step 3: Cross multiply
    32,810.12x = 49,223.00 × 10,623.50
  4. Step 4: Simplify right side
    32,810.12x = 522,920,487.38
  5. Step 5: Solve for x
    x = 522,920,487.38/32,810.12
  6. Step 6: Final answer
    x = 15,937.78

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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.