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Finding the Fourth Proportional to 22,852.50, 34,029.05 and 22,011.75

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Solution

The fourth proportional to 22,852.50, 34,029.05 and 22,011.75 is: 32,777.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,852.50 : 34,029.05 = 22,011.75 : x
  2. Step 2: Convert to fraction form
    22,852.50/34,029.05 = 22,011.75/x
  3. Step 3: Cross multiply
    22,852.50x = 34,029.05 × 22,011.75
  4. Step 4: Simplify right side
    22,852.50x = 749,038,941.34
  5. Step 5: Solve for x
    x = 749,038,941.34/22,852.50
  6. Step 6: Final answer
    x = 32,777.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.