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Finding the Fourth Proportional to 32,697.46, 49,038.88 and 15,165.01

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Solution

The fourth proportional to 32,697.46, 49,038.88 and 15,165.01 is: 22,744.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,697.46 : 49,038.88 = 15,165.01 : x
  2. Step 2: Convert to fraction form
    32,697.46/49,038.88 = 15,165.01/x
  3. Step 3: Cross multiply
    32,697.46x = 49,038.88 × 15,165.01
  4. Step 4: Simplify right side
    32,697.46x = 743,675,105.59
  5. Step 5: Solve for x
    x = 743,675,105.59/32,697.46
  6. Step 6: Final answer
    x = 22,744.12

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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.