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Finding the Fourth Proportional to 39,349, 59,035.06 and 11,647.72

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Solution

The fourth proportional to 39,349, 59,035.06 and 11,647.72 is: 17,475.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,349 : 59,035.06 = 11,647.72 : x
  2. Step 2: Convert to fraction form
    39,349/59,035.06 = 11,647.72/x
  3. Step 3: Cross multiply
    39,349x = 59,035.06 × 11,647.72
  4. Step 4: Simplify right side
    39,349x = 687,623,849.06
  5. Step 5: Solve for x
    x = 687,623,849.06/39,349
  6. Step 6: Final answer
    x = 17,475.00

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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.