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Finding the Fourth Proportional to 47,876.90, 66,070.12 and 27,737.67

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Solution

The fourth proportional to 47,876.90, 66,070.12 and 27,737.67 is: 38,277.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,876.90 : 66,070.12 = 27,737.67 : x
  2. Step 2: Convert to fraction form
    47,876.90/66,070.12 = 27,737.67/x
  3. Step 3: Cross multiply
    47,876.90x = 66,070.12 × 27,737.67
  4. Step 4: Simplify right side
    47,876.90x = 1,832,631,185.42
  5. Step 5: Solve for x
    x = 1,832,631,185.42/47,876.90
  6. Step 6: Final answer
    x = 38,277.98

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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.