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Finding the Fourth Proportional to 32,810.62, 49,223.75 and 10,624

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Solution

The fourth proportional to 32,810.62, 49,223.75 and 10,624 is: 15,938.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,810.62 : 49,223.75 = 10,624 : x
  2. Step 2: Convert to fraction form
    32,810.62/49,223.75 = 10,624/x
  3. Step 3: Cross multiply
    32,810.62x = 49,223.75 × 10,624
  4. Step 4: Simplify right side
    32,810.62x = 522,953,066.88
  5. Step 5: Solve for x
    x = 522,953,066.88/32,810.62
  6. Step 6: Final answer
    x = 15,938.53

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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.