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Finding the Fourth Proportional to 34,040.88, 51,061.32 and 9,416.88

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Solution

The fourth proportional to 34,040.88, 51,061.32 and 9,416.88 is: 14,125.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,040.88 : 51,061.32 = 9,416.88 : x
  2. Step 2: Convert to fraction form
    34,040.88/51,061.32 = 9,416.88/x
  3. Step 3: Cross multiply
    34,040.88x = 51,061.32 × 9,416.88
  4. Step 4: Simplify right side
    34,040.88x = 480,838,323.08
  5. Step 5: Solve for x
    x = 480,838,323.08/34,040.88
  6. Step 6: Final answer
    x = 14,125.32

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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.