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Finding the Fourth Proportional to 34,694, 52,039.16 and 9,735.80

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Solution

The fourth proportional to 34,694, 52,039.16 and 9,735.80 is: 14,603.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,694 : 52,039.16 = 9,735.80 : x
  2. Step 2: Convert to fraction form
    34,694/52,039.16 = 9,735.80/x
  3. Step 3: Cross multiply
    34,694x = 52,039.16 × 9,735.80
  4. Step 4: Simplify right side
    34,694x = 506,642,853.93
  5. Step 5: Solve for x
    x = 506,642,853.93/34,694
  6. Step 6: Final answer
    x = 14,603.18

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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.