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Finding the Fourth Proportional to 47,564.85, 71,347.98 and 22,607.45

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Solution

The fourth proportional to 47,564.85, 71,347.98 and 22,607.45 is: 33,911.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,564.85 : 71,347.98 = 22,607.45 : x
  2. Step 2: Convert to fraction form
    47,564.85/71,347.98 = 22,607.45/x
  3. Step 3: Cross multiply
    47,564.85x = 71,347.98 × 22,607.45
  4. Step 4: Simplify right side
    47,564.85x = 1,612,995,420.67
  5. Step 5: Solve for x
    x = 1,612,995,420.67/47,564.85
  6. Step 6: Final answer
    x = 33,911.50

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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.