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Finding the Fourth Proportional to 34,737.75, 52,106.54 and 8,442.50

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Solution

The fourth proportional to 34,737.75, 52,106.54 and 8,442.50 is: 12,663.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,737.75 : 52,106.54 = 8,442.50 : x
  2. Step 2: Convert to fraction form
    34,737.75/52,106.54 = 8,442.50/x
  3. Step 3: Cross multiply
    34,737.75x = 52,106.54 × 8,442.50
  4. Step 4: Simplify right side
    34,737.75x = 439,909,161.20
  5. Step 5: Solve for x
    x = 439,909,161.20/34,737.75
  6. Step 6: Final answer
    x = 12,663.72

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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.