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Finding the Fourth Proportional to 49,117, 67,779.12 and 28,974.64

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Solution

The fourth proportional to 49,117, 67,779.12 and 28,974.64 is: 39,983.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,117 : 67,779.12 = 28,974.64 : x
  2. Step 2: Convert to fraction form
    49,117/67,779.12 = 28,974.64/x
  3. Step 3: Cross multiply
    49,117x = 67,779.12 × 28,974.64
  4. Step 4: Simplify right side
    49,117x = 1,963,875,601.52
  5. Step 5: Solve for x
    x = 1,963,875,601.52/49,117
  6. Step 6: Final answer
    x = 39,983.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.