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Finding the Fourth Proportional to 34,277.16, 51,419.90 and 9,653.16

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Solution

The fourth proportional to 34,277.16, 51,419.90 and 9,653.16 is: 14,480.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,277.16 : 51,419.90 = 9,653.16 : x
  2. Step 2: Convert to fraction form
    34,277.16/51,419.90 = 9,653.16/x
  3. Step 3: Cross multiply
    34,277.16x = 51,419.90 × 9,653.16
  4. Step 4: Simplify right side
    34,277.16x = 496,364,521.88
  5. Step 5: Solve for x
    x = 496,364,521.88/34,277.16
  6. Step 6: Final answer
    x = 14,480.91

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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.