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Finding the Fourth Proportional to 37,672.50, 56,509.83 and 9,970.50

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Solution

The fourth proportional to 37,672.50, 56,509.83 and 9,970.50 is: 14,956.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,672.50 : 56,509.83 = 9,970.50 : x
  2. Step 2: Convert to fraction form
    37,672.50/56,509.83 = 9,970.50/x
  3. Step 3: Cross multiply
    37,672.50x = 56,509.83 × 9,970.50
  4. Step 4: Simplify right side
    37,672.50x = 563,431,260.02
  5. Step 5: Solve for x
    x = 563,431,260.02/37,672.50
  6. Step 6: Final answer
    x = 14,956.04

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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.