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Finding the Fourth Proportional to 34,416, 47,501.91 and 20,273.40

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Solution

The fourth proportional to 34,416, 47,501.91 and 20,273.40 is: 27,981.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,416 : 47,501.91 = 20,273.40 : x
  2. Step 2: Convert to fraction form
    34,416/47,501.91 = 20,273.40/x
  3. Step 3: Cross multiply
    34,416x = 47,501.91 × 20,273.40
  4. Step 4: Simplify right side
    34,416x = 963,025,222.19
  5. Step 5: Solve for x
    x = 963,025,222.19/34,416
  6. Step 6: Final answer
    x = 27,981.90

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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.