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Finding the Fourth Proportional to 34,150.57, 47,111.07 and 22,822.87

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Solution

The fourth proportional to 34,150.57, 47,111.07 and 22,822.87 is: 31,484.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,150.57 : 47,111.07 = 22,822.87 : x
  2. Step 2: Convert to fraction form
    34,150.57/47,111.07 = 22,822.87/x
  3. Step 3: Cross multiply
    34,150.57x = 47,111.07 × 22,822.87
  4. Step 4: Simplify right side
    34,150.57x = 1,075,209,826.17
  5. Step 5: Solve for x
    x = 1,075,209,826.17/34,150.57
  6. Step 6: Final answer
    x = 31,484.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.