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Finding the Fourth Proportional to 34,427.92, 51,643.80 and 9,802

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Solution

The fourth proportional to 34,427.92, 51,643.80 and 9,802 is: 14,703.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,427.92 : 51,643.80 = 9,802 : x
  2. Step 2: Convert to fraction form
    34,427.92/51,643.80 = 9,802/x
  3. Step 3: Cross multiply
    34,427.92x = 51,643.80 × 9,802
  4. Step 4: Simplify right side
    34,427.92x = 506,212,527.60
  5. Step 5: Solve for x
    x = 506,212,527.60/34,427.92
  6. Step 6: Final answer
    x = 14,703.55

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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.