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Finding the Fourth Proportional to 37,352.50, 56,038.35 and 12,728.50

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Solution

The fourth proportional to 37,352.50, 56,038.35 and 12,728.50 is: 19,096.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,352.50 : 56,038.35 = 12,728.50 : x
  2. Step 2: Convert to fraction form
    37,352.50/56,038.35 = 12,728.50/x
  3. Step 3: Cross multiply
    37,352.50x = 56,038.35 × 12,728.50
  4. Step 4: Simplify right side
    37,352.50x = 713,284,137.98
  5. Step 5: Solve for x
    x = 713,284,137.98/37,352.50
  6. Step 6: Final answer
    x = 19,096.02

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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.