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Finding the Fourth Proportional to 39,703.72, 59,564.22 and 12,001

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Solution

The fourth proportional to 39,703.72, 59,564.22 and 12,001 is: 18,004.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,703.72 : 59,564.22 = 12,001 : x
  2. Step 2: Convert to fraction form
    39,703.72/59,564.22 = 12,001/x
  3. Step 3: Cross multiply
    39,703.72x = 59,564.22 × 12,001
  4. Step 4: Simplify right side
    39,703.72x = 714,830,204.22
  5. Step 5: Solve for x
    x = 714,830,204.22/39,703.72
  6. Step 6: Final answer
    x = 18,004.11

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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.