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Finding the Fourth Proportional to 34,978.29, 52,482.92 and 18,334.36

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Solution

The fourth proportional to 34,978.29, 52,482.92 and 18,334.36 is: 27,509.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,978.29 : 52,482.92 = 18,334.36 : x
  2. Step 2: Convert to fraction form
    34,978.29/52,482.92 = 18,334.36/x
  3. Step 3: Cross multiply
    34,978.29x = 52,482.92 × 18,334.36
  4. Step 4: Simplify right side
    34,978.29x = 962,240,749.13
  5. Step 5: Solve for x
    x = 962,240,749.13/34,978.29
  6. Step 6: Final answer
    x = 27,509.66

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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.