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Finding the Fourth Proportional to 34,737, 52,106.94 and 10,113

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Solution

The fourth proportional to 34,737, 52,106.94 and 10,113 is: 15,169.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,737 : 52,106.94 = 10,113 : x
  2. Step 2: Convert to fraction form
    34,737/52,106.94 = 10,113/x
  3. Step 3: Cross multiply
    34,737x = 52,106.94 × 10,113
  4. Step 4: Simplify right side
    34,737x = 526,957,484.22
  5. Step 5: Solve for x
    x = 526,957,484.22/34,737
  6. Step 6: Final answer
    x = 15,169.92

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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.