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Finding the Fourth Proportional to 34,077.69, 47,024.84 and 21,330.32

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Solution

The fourth proportional to 34,077.69, 47,024.84 and 21,330.32 is: 29,434.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,077.69 : 47,024.84 = 21,330.32 : x
  2. Step 2: Convert to fraction form
    34,077.69/47,024.84 = 21,330.32/x
  3. Step 3: Cross multiply
    34,077.69x = 47,024.84 × 21,330.32
  4. Step 4: Simplify right side
    34,077.69x = 1,003,054,703.35
  5. Step 5: Solve for x
    x = 1,003,054,703.35/34,077.69
  6. Step 6: Final answer
    x = 29,434.35

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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.