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Finding the Fourth Proportional to 34,822.19, 52,232.28 and 9,862.19

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Solution

The fourth proportional to 34,822.19, 52,232.28 and 9,862.19 is: 14,793.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,822.19 : 52,232.28 = 9,862.19 : x
  2. Step 2: Convert to fraction form
    34,822.19/52,232.28 = 9,862.19/x
  3. Step 3: Cross multiply
    34,822.19x = 52,232.28 × 9,862.19
  4. Step 4: Simplify right side
    34,822.19x = 515,124,916.50
  5. Step 5: Solve for x
    x = 515,124,916.50/34,822.19
  6. Step 6: Final answer
    x = 14,793.01

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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.