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Finding the Fourth Proportional to 34,492.44, 51,737.22 and 9,868.44

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Solution

The fourth proportional to 34,492.44, 51,737.22 and 9,868.44 is: 14,802.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,492.44 : 51,737.22 = 9,868.44 : x
  2. Step 2: Convert to fraction form
    34,492.44/51,737.22 = 9,868.44/x
  3. Step 3: Cross multiply
    34,492.44x = 51,737.22 × 9,868.44
  4. Step 4: Simplify right side
    34,492.44x = 510,565,651.34
  5. Step 5: Solve for x
    x = 510,565,651.34/34,492.44
  6. Step 6: Final answer
    x = 14,802.25

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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.