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Finding the Fourth Proportional to 35,004, 52,530.32 and 14,227.52

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Solution

The fourth proportional to 35,004, 52,530.32 and 14,227.52 is: 21,351.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,004 : 52,530.32 = 14,227.52 : x
  2. Step 2: Convert to fraction form
    35,004/52,530.32 = 14,227.52/x
  3. Step 3: Cross multiply
    35,004x = 52,530.32 × 14,227.52
  4. Step 4: Simplify right side
    35,004x = 747,376,178.41
  5. Step 5: Solve for x
    x = 747,376,178.41/35,004
  6. Step 6: Final answer
    x = 21,351.16

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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.