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Finding the Fourth Proportional to 34,473.38, 51,666.32 and 17,830.30

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Solution

The fourth proportional to 34,473.38, 51,666.32 and 17,830.30 is: 26,722.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,473.38 : 51,666.32 = 17,830.30 : x
  2. Step 2: Convert to fraction form
    34,473.38/51,666.32 = 17,830.30/x
  3. Step 3: Cross multiply
    34,473.38x = 51,666.32 × 17,830.30
  4. Step 4: Simplify right side
    34,473.38x = 921,225,985.50
  5. Step 5: Solve for x
    x = 921,225,985.50/34,473.38
  6. Step 6: Final answer
    x = 26,722.82

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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.