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Finding the Fourth Proportional to 34,285.74, 47,314.11 and 19,178.34

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Solution

The fourth proportional to 34,285.74, 47,314.11 and 19,178.34 is: 26,465.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,285.74 : 47,314.11 = 19,178.34 : x
  2. Step 2: Convert to fraction form
    34,285.74/47,314.11 = 19,178.34/x
  3. Step 3: Cross multiply
    34,285.74x = 47,314.11 × 19,178.34
  4. Step 4: Simplify right side
    34,285.74x = 907,406,088.38
  5. Step 5: Solve for x
    x = 907,406,088.38/34,285.74
  6. Step 6: Final answer
    x = 26,465.99

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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.