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Finding the Fourth Proportional to 37,880.66, 56,762.67 and 24,000.50

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Solution

The fourth proportional to 37,880.66, 56,762.67 and 24,000.50 is: 35,963.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,880.66 : 56,762.67 = 24,000.50 : x
  2. Step 2: Convert to fraction form
    37,880.66/56,762.67 = 24,000.50/x
  3. Step 3: Cross multiply
    37,880.66x = 56,762.67 × 24,000.50
  4. Step 4: Simplify right side
    37,880.66x = 1,362,332,461.34
  5. Step 5: Solve for x
    x = 1,362,332,461.34/37,880.66
  6. Step 6: Final answer
    x = 35,963.80

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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.